SOLUTION: Can someone help me solve this question by using completing the square method? 4.6y^2 + 3.5x - 1.75 = 0 I have tried everything but still cant solve it. thanks.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can someone help me solve this question by using completing the square method? 4.6y^2 + 3.5x - 1.75 = 0 I have tried everything but still cant solve it. thanks.      Log On


   

Question 1165410: Can someone help me solve this question by using completing the square method?
4.6y^2 + 3.5x - 1.75 = 0
I have tried everything but still cant solve it. thanks.
Found 3 solutions by math_helper, MathTherapy, Alan3354:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


To start, I assume you meant that 'y' to be 'x': +4.6x%5E2+%2B+3.5x+-+1.75+=+0+



Multiply by 100:

+460x%5E2+%2B+350x+-+175+=+0



Reduce (divide by 5):

+92x%5E2+%2B+70x+-+35+=+0+



Divide by 92:

++x%5E2+%2B+%2870%2F92%29x+-+%2835%2F92%29+=+0+

+x%5E2+%2B+%2870%2F92%29x+=+35%2F92+



Add +%28%281%2F2%29%2870%2F92%29%29%5E2+ to both sides:

+x%5E2+%2B+%2870%2F92%29x+%2B+%2835%2F92%29%5E2+=+%2835%2F92%29+%2B+%2835%2F92%29%5E2+



+%28x%2B%2835%2F92%29%29%5E2+=+++%2835%2F92%29+%2B+%2835%2F92%29%5E2+



Take the square root of both sides, this introduces +/- on RHS:

++x%2B%2835%2F92%29+ = +/- sqrt%28%2835%2F92%29%2B%2835%2F92%29%5E2%29+ 

++x+ =  - 35%2F92 +/- sqrt%28%2835%2F92%29%2B%2835%2F92%29%5E2%29+ 



This evaluates to the solutions:

   x = 0.34425

   x = -1.10512

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Can someone help me solve this question by using completing the square method?
4.6y^2 + 3.5x - 1.75 = 0
I have tried everything but still cant solve it. thanks.
It's easier to work with integers than decimals. Therefore, let's convert all the decimal-coefficients by multiplying entire equation by 20.

matrix%281%2C3%2C+20%284.6y%5E2+%2B+3.5x+-+1.75%29%2C+%22=%22%2C+20%280%29%29

matrix%281%2C3%2C+92x%5E2+%2B+70x+-+35%2C+%22=%22%2C+0%29

matrix%281%2C3%2C+92x%5E2%2F92+%2B+%2870%2F92%29x+-+35%2F92%2C+%22=%22%2C+0%2F92%29 ------- Dividing entire equation by 92 in order to get a leading coefficient of + 1

matrix%281%2C3%2C+x%5E2+%2B+%2870%2F92%29x+-+35%2F92%2C+%22=%22%2C+0%29 

matrix%281%2C3%2C+x%5E2+%2B+%2870%2F92%29x%2C+%22=%22%2C+35%2F92%29 ------- Adding 35%2F92 to get the constant on the right-side

 ------- Taking 1%2F2 the value of "b," squaring it, and then adding the result to both sides



matrix%281%2C3%2C+%28x+%2B+35%2F92%29%5E2%2C+%22=%22%2C+35%2F92+%2B+%2835%2F92%29%5E2%29

 ------- Taking square root of both sides

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's not a question, it's an equation.
Equations are solved, questions are answered.
==================
You obviously didn't "try everything."