You can put this solution on YOUR website! List the stepes for solving the equation x^2 -9= -8x by completing the square method. Explain each step
:
x^2 -9 = -8x
write it like this, leaving a space for the value that will complete the square
x^2 + 8x + ____ = 9
:
To complete the square, divide the coefficient of x by 2, and square it
In this equation 8/2 = 4, squared is 16, so we add 16 to both sides
x^2 + 8x + 16 = 9 + 16
x^2 + 8x + 16 = 25
:
we know x^2 + 8x + 16 = (x+4)^2, so write it
(x + 4)^2 = 25
;
Find the square root of both sides
x + 4 = +/-
:
Subtract 4 from both sides
x = - 4 +/-
Two solutions
x = - 4 + 5
x = 1
and
x = - 4 - 5
x = -9
