# Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 89

The solutions are real.

#### Work Step by Step

The equation presented is $3z^{2} = 10$. In solving for $z$, one would first divide both sides by three, and then take the square root of both sides of the equation; as the square root of $\frac{10}{3}$ is real, the solutions are not complex.

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