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Complete the square to rewrite x2 − 2x − 7 = 0 in the form (x − h)2 = c, where h and c are integer values.

2 Answers

2 votes

Answer:

(x-1)² = 8

Explanation:

Complete the square to rewrite x2 − 2x − 7 = 0 in the form (x − h)2 = c, where h and-example-1
User Genry
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6.1k points
2 votes

Answer:


(x-1)^(2)=8

Explanation:

we have


x^(2) -2x-7=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation


x^(2) -2x=7

Complete the square. Remember to balance the equation by adding the same constants to each side


x^(2) -2x+1=7+1


x^(2) -2x+1=8

Rewrite as perfect squares


(x-1)^(2)=8

therefore


h=1, c=8

User Ates Goral
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7.1k points