Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises - Page 121: 3

$C$

Work Step by Step

Subtract $5$ to both sides of the equation to obtain: $x^2=-5$ Take the square root of both sides to obtain: $\sqrt{x^2}=\pm \sqrt{-5} \\x = \pm \sqrt{(-1)5}$ Since $\sqrt{-1}=i$, then the expression above simplifies to $x=\pm i\sqrt5$ Thus, the answer is $C$.

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