SOLUTION: I am having some troubles with solving for the variable in equation {{{2(y-1)^2=4(y+1)^2}}} What I have so far is...... 2(y-1)(y-)=4(y+1)(y+1) 2(y^2-y-y-1)=4(y^2+y+y+1) 2y^2-

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am having some troubles with solving for the variable in equation {{{2(y-1)^2=4(y+1)^2}}} What I have so far is...... 2(y-1)(y-)=4(y+1)(y+1) 2(y^2-y-y-1)=4(y^2+y+y+1) 2y^2-      Log On


   



Question 117427: I am having some troubles with solving for the variable in equation 2%28y-1%29%5E2=4%28y%2B1%29%5E2
What I have so far is......
2(y-1)(y-)=4(y+1)(y+1)
2(y^2-y-y-1)=4(y^2+y+y+1)
2y^2-2y-y2-2=4y^2+4y+4y+4
2y^2-4y-2=4y^2+8y+4
But i can not get any further....can you please help
Thank you so much!!!!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2%28y-1%29%5E2+=+4%28y%2B1%29%5E2
2%28y%5E2+-+2y+%2B+1%29+=+4%28y%5E2+%2B+2y+%2B+1%29
2y%5E2+-+4y+%2B+2+=+4y%5E2+%2B+8y+%2B+4
Subtract 2y%5E2 from both sides
-4y+%2B+2+=+2y%5E2+%2B+8y+%2B+4
Add 4y to both sides
2+=+2y%5E2+%2B+12y+%2B+4
Subtract 2 from both sides
2y%5E2+%2B+12y+%2B+2+=+0
divide both sides by 2
y%5E2+%2B+6y+%2B+1+=+0
Now subtract 1 from both sides
y%5E2+%2B+6y+=+-1
Now complete the square by taking 1/2 of the
coefficient of y, square it, and add it to both sides
y%5E2+%2B+6y+%2B+9+=+-1+%2B+9
%28y+%2B+3%29%5E2+=+8
Take the square root of both sides
y+%2B+3+=+0+%2B-+sqrt%288%29
y+=+-3+%2B-+2%2Asqrt%282%29
y+=+-3+%2B+2%2Asqrt%282%29 answer
y+=+-3+-+2%2Asqrt%282%29 answer
check answer
2%28y-1%29%5E2+=+4%28y%2B1%29%5E2
%28-3+%2B+2%2Asqrt%282%29+-+1%29%5E2+=+2%28-3+%2B+2%2Asqrt%282%29+%2B+1%29%5E2
16+-+16%2Asqrt%282%29+%2B+8+=+2%284+-+8%2Asqrt%282%29+%2B+8%29
16+-+16%2Asqrt%282%29+%2B+8+=+8+-+16%2Asqrt%282%29+%2B+16
24+-+16%2Asqrt%282%29+=+24+-+16%2Asqrt%282%29
3+-+2%2Asqrt%282%29+=+3+-+2%2Asqrt%282%29
OK