Question

Solve the quadratic equation by taking square roots.

Answer 1

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± $\sqrt{8}$ = ± 2$\sqrt{2}$

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2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = $\frac{9}{5}$ ( take the square root of both sides )

x = ± $\sqrt{\frac{9}{5} }$ = ± $\frac{3}{\sqrt{5} }$

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3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± $\sqrt{7}$