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Re: Nairaland Mathematics Clinic by Nobody: 11:47am On Jul 21, 2019
tolulopevoice:
Still waiting for solutions please

Here.
For part (c). You can use a calculator to approximate the answer to any degree of accuracy your calculator can offer. But I preper my answers expressed in arithmetical surds.

Re: Nairaland Mathematics Clinic by gpercuxionz(m): 11:16pm On Jul 21, 2019
Thanks... This lagos state government are wicked. How do they expect jss3 students to know this..
Re: Nairaland Mathematics Clinic by Ojayyonline(m): 7:18am On Jul 23, 2019
Ojayyonline:


please I think your question should be checked properly and then pls comment after u are sure of the question.

So sorry for the late reply. here's the solution.

Re: Nairaland Mathematics Clinic by Nobody: 5:25pm On Jul 26, 2019
Good day everyone.

Re: Nairaland Mathematics Clinic by Nobody: 9:13am On Jul 27, 2019
MathsEconomics:
Good day everyone.
I have a complete solution but it might be "unrigorous"

What app do you use for typing math?
Re: Nairaland Mathematics Clinic by Nobody: 5:57pm On Jul 27, 2019
MathsEconomics:
Good day everyone.

Re: Nairaland Mathematics Clinic by Nobody: 8:17am On Jul 30, 2019
Pls who can solve this

Re: Nairaland Mathematics Clinic by Martinez39(m): 8:58am On Jul 30, 2019
toroabasietim94:
Pls who can solve this
ZERO.
Re: Nairaland Mathematics Clinic by Nobody: 9:10am On Jul 30, 2019
Martinez39:
ZERO.
show working
Re: Nairaland Mathematics Clinic by Nobody: 3:20pm On Jul 30, 2019
toroabasietim94:
Pls who can solve this
The question becomes trivial once you see that the second equation is a sum of two cubes.
Re: Nairaland Mathematics Clinic by Nobody: 6:43pm On Aug 02, 2019
Difficult but solvable.

Re: Nairaland Mathematics Clinic by Nobody: 7:30pm On Aug 02, 2019
Darivie04:


1. You cannot treat an infinite product as a series unless you take the logarithm and study it.

2. Also, in using D'Alembert ratio test, you cannot make any conclusion if the ratio is one in this case it's better to use Cauchy Condensation Test or Bertrand's test.

1 Like

Re: Nairaland Mathematics Clinic by Darivie03: 10:12am On Aug 03, 2019
MathsEconomics:


1. You cannot treat an infinite product as a series unless you take the logarithm and study it.

2. Also, in using D'Alembert ratio test, you cannot make any conclusion if the ratio is one in this case it's better to use Cauchy Condensation Test or Bertrand's test.
Lol, OK just felt like trying the question out using the basic math I know.
Re: Nairaland Mathematics Clinic by Miracle112(m): 11:58am On Aug 04, 2019
please I want solve this problem and I need guidance please.. someone should help/Guide me...

here is the problem..

1. obtain the angle between the lines 2y-4x+6=0 and y-2x-5=0



2.determine the distance between the line 4x-6y=6 and 3-3y+2x=0


3. Find the locus of a variable point P, if the distance of P from the X-axis is always three times its distance from the point (3, -3)



please mathematicians/physicians in the house should help abeg
Re: Nairaland Mathematics Clinic by naturalwaves: 5:49pm On Aug 04, 2019
Miracle112:
please I want solve this problem and I need guidance please.. someone should help/Guide me...

here is the problem..

1. obtain the angle between the lines 2y-4x+6=0 and y-2x-5=0



2.determine the distance between the line 4x-6y=6 and 3-3y+2x=0


3. Find the locus of a variable point P, if the distance of P from the X-axis is always three times its distance from the point (3, -3)



please mathematicians/physicians in the house should help abeg
You mean Physicists grin grin cheesy
Physicians are related to medicine and similar stuffs.
Re: Nairaland Mathematics Clinic by Nobody: 5:58pm On Aug 04, 2019
Miracle112:
please I want solve this problem and I need guidance please.. someone should help/Guide me...

here is the problem..

1. obtain the angle between the lines 2y-4x+6=0 and y-2x-5=0



2.determine the distance between the line 4x-6y=6 and 3-3y+2x=0


3. Find the locus of a variable point P, if the distance of P from the X-axis is always three times its distance from the point (3, -3)



please mathematicians/physicians in the house should help abeg
Carry SS1 further math textbook
Re: Nairaland Mathematics Clinic by naturalwaves: 6:17pm On Aug 04, 2019
MathsEconomics:
Difficult but solvable.
What application do you use to type.
Re: Nairaland Mathematics Clinic by Miracle112(m): 6:37pm On Aug 04, 2019
naturalwaves:

You mean Physicists grin grin cheesy
Physicians are related to medicine and similar stuffs.

Okay
Thanks Man for the correction.
Can you helpe solve the problem?
Re: Nairaland Mathematics Clinic by naturalwaves: 6:55pm On Aug 04, 2019
Miracle112:


Okay
Thanks Man for the correction.
Can you helpe solve the problem?
I will check it when I get home. You are welcome.
Re: Nairaland Mathematics Clinic by Martinez19(m): 2:34am On Aug 05, 2019
Miracle112:
please I want solve this problem and I need guidance please.. someone should help/Guide me...


here is the problem..

1. obtain the angle between the lines 2y-4x+6=0 and y-2x-5=0
Both lines are parallel since their slopes are equal hence the angle between them is zero.



2.determine the distance between the line 4x-6y=6 and 3-3y+2x=0
4x - 6y = 6 is equivalent to y = ⅔x - 1 . Also 3 - 3y + 2x = 0 is equivalent to y = ⅔x + 1 . Note that
the distance, D between two parallel lines y = mx + a and y = mx + b is
D = |b - a|/√(1 + m²)

In your question, a = -1 , b = 1 , and m=⅔ Substituting and solving, we have that
D = 6/√13

3. Find the locus of a variable point P, if the distance of P from the X-axis is always three times its distance from the point (3, -3)

|y| = 3√[(x - 3)² + (y + 3)²]
y²= 9[(x - 3)² + (y + 3)²]
y² = 9( x² + y² - 6x + 6y + 18)
9x² + 8y² - 54x + 54y + 162 = 0
Completing the square and solving, you have
(8/9)(x - 3)² + (64/81)(y + (27/8 ) )² = 1
This is an ellipse.

please mathematicians/physicians in the house should help abeg
I have done that. It's physicists not physicians.
Re: Nairaland Mathematics Clinic by naturalwaves: 10:03am On Aug 05, 2019
Martinez19:


here is the problem..

Both lines are parallel since their slopes are equal hence the angle between them is zero.



4x - 6y = 6 is equivalent to y = ⅔x - 1 . Also 3 - 3y + 2x = 0 is equivalent to y = ⅔x + 1 . Note that

In your question, a = -1 , b = 1 , and m=⅔ Substituting and solving, we have that
D = 6/√13


|y| = 3√[(x - 3)² + (y + 3)²]
y²= 9[(x - 3)² + (y + 3)²]
y² = 9( x² + y² - 6x + 6y + 18)
9x² + 8y² - 54x + 54y + 162 = 0
Completing the square and solving, you have
(8/9)(x - 3)² + (64/81)(y + (27/8 ) )² = 1
This is an ellipse.

I have done that. It's physicists not physicians.
Kudos bro. I was just about helping him out when I saw that someone has. Thanks
Re: Nairaland Mathematics Clinic by Nobody: 1:51pm On Aug 13, 2019
An interesting inequality.

Re: Nairaland Mathematics Clinic by Nobody: 2:19pm On Aug 13, 2019
MathsEconomics:
For everyone.
After solving this problem I have arrived at the conclusion that there are no solutions.
Re: Nairaland Mathematics Clinic by Nobody: 4:32pm On Aug 13, 2019
Darivie04:

After solving this problem I have arrived at the conclusion that there are no solutions.

Can you continue from here?

Re: Nairaland Mathematics Clinic by Darivie03: 5:43pm On Aug 13, 2019
MathsEconomics:


Can you continue from here?
No like I actually solved the problem. My solutions included complex numbers meaning one where x,y,z are real numbers doesn't exist.

I solved it by factorizing equation 2 and 3 to obtain the values of x+y+z(given in the question to be 0), xyz(=6) and xy+yz+xz(=7). Then used the cubic equation idea you mentioned.
Re: Nairaland Mathematics Clinic by Nobody: 8:44am On Aug 17, 2019
Darivie03:

No like I actually solved the problem. My solutions included complex numbers meaning one where x,y,z are real numbers doesn't exist.

I solved it by factorizing equation 2 and 3 to obtain the values of x+y+z(given in the question to be 0), xyz(=6) and xy+yz+xz(=7). Then used the cubic equation idea you mentioned.

There are actually two choices for t. t=±7
Here's a recurrence relation to use to confirm this.

Re: Nairaland Mathematics Clinic by dejt4u(m): 12:21pm On Aug 17, 2019
MathsEconomics:


There are actually two choices for t. t=±7
Here's a recurrence relation to use to confirm this.
which app do you use to type maths please?
Re: Nairaland Mathematics Clinic by Nobody: 12:23pm On Aug 17, 2019
dejt4u:
which app do you use to type maths please?

MathMagic Lite.
Re: Nairaland Mathematics Clinic by dejt4u(m): 12:32pm On Aug 17, 2019
MathsEconomics:


MathMagic Lite.
thanks..

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