Solve the equation.
-$$x ^ { 1 / 2 } = - 5 x ^ { 1 / 4 }$$
A) $\varnothing$
B) $\{ 0,25 \}$
C) $\{ 0 \}$
D) $\{ 0 , - 5 \}$

Name: Solve the equation. -\[x ^ { 1 / 2 } = - 5 x ^ { 1 / 4 }\] A) $\varnothing$ B) $\{ 0,25 \}$ C) $\{ 0 \}$ D) $\{ 0 , - 5 \}$
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Question

Quizplus · Accepted Answer

The equation $x^{1/2} = -5x^{1/4}$ implies a square root is equal to a negative number when $x$ is positive, which is impossible. Thus, no real solutions exist.

Solve the Equation x1/2=−5x1/4x ^ { 1 / 2 } = - 5 x ^ { 1 / 4 }x1/2=−5x1/4

Solve the Equation $x ^ { 1 / 2 } = - 5 x ^ { 1 / 4 }$