SOLUTION: Solve the equation by completing the square: Solve the equation by completing the square: 4x^2-4x-9=0

Question 801034: Solve the equation by completing the square: Solve the equation by completing the square: 4x^2-4x-9=0

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
complete the square:
4x^2 - 4x - 9 = 0
we want the coefficient of x^2 to be 1, divide eq by 4
x^2 - x - = 0
x^2 - x + __ =
to complete the square, take half the coefficient of x, and square it
That's (1/2)^2 = 1/4, add to both sides
x^2 - x + = +
x^2 - x + =
we can write it
{x - )^2 =
Find the square root of both sides
x - = +/-
x = +/-
extract the square root of 1/4
x = +/-
write the two solutions as
x =
and
x =

RELATED QUESTIONS
Solve the equation by completing the square: Solve the equation by completing the square: (answered by rothauserc)

solve equation by completing the square x2 + 4x - 36 =... (answered by ewatrrr,nerdybill)

solve by completing the square:... (answered by lynnlo)

solve by completing the square?... (answered by sdmmadam@yahoo.com)

Solve by completing the square 3x^2 - 4x + 5 =... (answered by ptaylor)

Solve by completing the square.... (answered by tanimachatterjee)

Solve by completing the square. 4x^2 + 2x � 3 = 0 (answered by jim_thompson5910)

Solve by completing the square... (answered by SandySharma,Edwin McCravy)

Solve by completing the square... (answered by madhujiithcharu@yahoo.co.in)