Add _____ to each side x2 – 8x = 9 to complete the square.
2 answers:
Answer:
16
Step-by-step explanation:
We use the completing square method to find make the expression a perfect square.
(b/2)²=ac where a and b are coefficients of x² and x respectively while c is a constant.
= (-8/2)²=16
We add 16 to both sides and the expression becomes a perfect square.
Answer:
The correct answer is 25
Step-by-step explanation:
It is given a quadratic equation,
x² – 8x = 9
<u>To find the number to be added</u>
The given equation be x² – 8x = 9
here we have to add (b/2)² - the square of half the coefficient of x,
Here b = -8
(b/2)² = (-8/2)² = -4² = 16
Add both side with 16
x² – 8x + 16 = 9 + 16
(x - 4)² = 25
(x - 4)² = 5²
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