SOLUTION: Hi, I am having a problem with a question that reads the following: Use the quadratic formula to solve the equation for x in terms of y. 8x^2-8xy+6(1-y^2)=0 Thanks in advance.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi, I am having a problem with a question that reads the following: Use the quadratic formula to solve the equation for x in terms of y. 8x^2-8xy+6(1-y^2)=0 Thanks in advance.       Log On


   

Question 221675: Hi, I am having a problem with a question that reads the following: Use the quadratic formula to solve the equation for x in terms of y. 8x^2-8xy+6(1-y^2)=0
Thanks in advance.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve the equation for x in terms of y.
+8x%5E2-8xy%2B6%281-y%5E2%29=+0
:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
In this problems a=8; b=-8y; c=6(1-y^2)

:
x+=+%288y+%2B-+sqrt%2864y%5E2+-+192%281-y%5E2%29+%29%29%2F16+
:
x+=+%288y+%2B-+sqrt%2864y%5E2+-+192+%2B+192y%5E2%29+%29%2F16+
:
x+=+%288y+%2B-+sqrt%28256y%5E2+-+192%29+%29%2F16+; combine like terms
:
x+=+%288y+%2B-+sqrt%2864%284y%5E2+-+3%29%29+%29%2F16+; factor out 64
:
x+=+%288y+%2B-+8%2Asqrt%284y%5E2+-+3%29+%29%2F16+; extract square root of 64
:
x+=+%28y+%2B-+sqrt%284y%5E2+-+3%29+%29%2F2+; divide both 8's into 16