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