2 years ago

How to solve x^2+x-90=0 in completing the square method

Mathematics

1 answer:

tigry1 [53]2 years ago

3 0

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9 or x = -10

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How to solve x^2+x-90=0 in completing the square method​

How to solve x^2+x-90=0 in completing the square method