Solve u 2 − 16 u = 0 u ^ { 2 } - 16 u = 0 u 2 − 16 u = 0 by completing the square.A) u = − 16 u = - 16 u = − 16 B) u = 0 , u = − 16 u = 0 , u = - 16 u = 0 , u = − 16 C) u = 0 , u = 16 u = 0 , u = 16 u = 0 , u = 16 D) u = 1 , u = 16 u = 1 , u = 16 u = 1 , u = 16 E) u = 80 , u = − 48 u = 80 , u = - 48 u = 80 , u = − 48

Question

Solve   u 2 − 16 u = 0 u ^ { 2 } - 16 u = 0 u 2 − 16 u = 0   by completing the square.A)    u = − 16 u = - 16 u = − 16 B)    u = 0 , u = − 16 u = 0 , u = - 16 u = 0 , u = − 16 C)    u = 0 , u = 16 u = 0 , u = 16 u = 0 , u = 16 D)    u = 1 , u = 16 u = 1 , u = 16 u = 1 , u = 16 E)    u = 80 , u = − 48 u = 80 , u = - 48 u = 80 , u = − 48

Zybrea Knight · Accepted Answer

Final Answer : C, Explanation :  To complete the square, we need to add $(16/2)^2=64$ to both sides of the equation. This gives us $u^2-16u+64=64$, which can be factored as $(u-8)^2=64$. Taking the square root of both sides gives $u-8=\pm8$, so $u=8\pm8$. Therefore, the solutions are $u=0$ and $u=16$.

Solve $u ^ { 2 } - 16 u = 0$ by completing the square.

A) $u = - 16$
B) $u = 0, u = - 16$
C) $u = 0, u = 16$
D) $u = 1, u = 16$
E) $u = 80, u = - 48$

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Solve u2−16u=0u ^ { 2 } - 16 u = 0u2−16u=0 by completing the square.A) u=−16u = - 16u=−16 B) u=0,u=−16u = 0 , u = - 16u=0,u=−16 C) u=0,u=16u = 0 , u = 16u=0,u=16 D) u=1,u=16u = 1 , u = 16u=1,u=16 E) u=80,u=−48u = 80 , u = - 48u=80,u=−48

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Learning Objectives

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Solve $u ^ { 2 } - 16 u = 0$ by completing the square.

A) $u = - 16$
B) $u = 0, u = - 16$
C) $u = 0, u = 16$
D) $u = 1, u = 16$
E) $u = 80, u = - 48$