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Ierofanga [76]
3 years ago
15

Solve the quadratic equation by completing the square.

Mathematics
2 answers:
maria [59]3 years ago
4 0

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

x² - 7x - 8 = 0 ( add 8 to both sides )

x² - 7x = 8

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- \frac{7}{2} )x + \frac{49}{4} = 8 + \frac{49}{4} = \frac{81}{4}

(x - \frac{7}{2} )² = \frac{81}{4} ( take the square root of both sides )

x - \frac{7}{2} = ± \sqrt{\frac{81}{4} } = ± \frac{9}{2} ( add \frac{7}{2} to both sides )

x = \frac{7}{2} ± \frac{9}{2}

Thus

x = \frac{7}{2} - \frac{9}{2} =  \frac{-2}{2} = - 1

x = \frac{7}{2} + \frac{9}{2} = \frac{16}{2} = 8

Ahat [919]3 years ago
3 0

Answer:

x'1 = -1

x'2 = 8

Step-by-step explanation:

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