Answer:
x=8, x=2
Step-by-step explanation:
(x-5)^2=9 Solve by completing the square
Find square root of both sides
|x-5|=3
x=8, x=2
By using completing the square method, the values of x in the given quadratic equation (x - 5)² = 9 are 2, 8.
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the equation in the question;
(x - 5)² = 9
Using completing the square method
We take square root of both sides
x - 5 = √9
x = 5 ± √9
x = 5 -√9 or 5 +√9
x = 5-3 or x = 5+3
x = 2 or 8
x = 2, 8
By using completing the square method, the values of x in the given quadratic equation (x - 5)² = 9 are 2, 8.
Learn more about quadratic equation here: brainly.com/question/1863222
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