# Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 69

The equation has no real number solution.

#### Work Step by Step

Subtract 64 on both sides of the equation to obtain: $x^4=-64$ Note that for any real number $x$, and even integer $n$, $x^n \ge 0$. Thus, the given equation has no real number solution since the exponent of $x$ is even and the right side of the equation is negative.

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