Question

Solve by taking square roots.
x^2 + 175 = 0

Answer 1

Answer:

${x}^{2} + 175 = 0 \\ {x }^{2} = - 175 \\ x = \sqrt{ - 175} \\ x = 13.22i$

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Answer 2

Answer:

x = ± 5i$\sqrt{7}$

Step-by-step explanation:

x² + 175 = 0 ( subtract 175 from both sides )

x² = - 175 ( take square root of both sides )

x = ± $\sqrt{-175}$ = ± $\sqrt{25(7)(-1)}$ = ± ($\sqrt{25}$ × $\sqrt{7}$ × $\sqrt{-1}$ = ± 5i$\sqrt{7}$