Answer:
Explanation:
Solution by completing the square for:
x2−12x+9=0
Keep x terms on the left and move
the constant to the right side
by subtracting it on both sides
x2−12x=−9
Take half of the x term and square it
[−12⋅1/2]^2=36
then add the result to both sides
x^2−12x+36=−9+36
Rewrite the perfect square on the left
(x−6)^2=−9+36
and combine terms on the right
(x−6)^2=27
Take the square root of both sides
x−6=±27−−√
Simplify the Radical term (1):
x−6=±3–√3
Isolate the x on the left side and
solve for x (1)
x=6±3–√3
therefore (2)
x=6+3–√3
x=6−3–√3
which becomes
x=11.1962
x=0.803848