Answer:
x
2
−4x+4=0
To solve the equation, factor x
2
−4x+4 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−4
ab=4
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.
−1,−4
−2,−2
Calculate the sum for each pair.
−1−4=−5
−2−2=−4
The solution is the pair that gives sum −4.
a=−2
b=−2
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−2)(x−2)
Rewrite as a binomial square.
(x−2)
2
To find equation solution, solve x−2=0.
x=2
Explanation:
hope this helped heres a graph