What is the solution to the equation square root of negative 5 p end root is equal to square root of 24 minus p end root ?

Both square roots are defined when their radicands are nonnegative. Since the principal square root function gives equal outputs only when the radicands are equal, set −5p = 24 − p. Solving gives −4p = 24, so p = −6; substituting gives 30 under each square root. The solution is p equals negative 6.

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