What is the intermediate step in the form (x + a)^2 = b as a result of completing the square for the following equation? 5x^2 + 23x = 13x - 10

asked Feb 11, 2023 141k views

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What is the intermediate step in the form (x + a)^2 = b as a result of completing the square for the following equation?

5x^2 + 23x = 13x - 10

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Answer: (x+1)²=-1

Explanation:

$5x^2+23x=13x-10\\5x^2+23x-13x=13x-10-13x\\5x^2+10x=-10\\5x^2+10x=-5-5\\5x^2+10x+5=-5-5+5\\5x^2+10x+5=-5\\$

Divide both parts of the equation by 5:

$x^2+2x+1=-1\\(x+1)^2=-1$

Denis Rouzaud answered Feb 17, 2023

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