Solve by making a u-substitution
-$\mathrm{x}-11 \sqrt{\mathrm{x}}+30=0$
A) $\{-5,6\}$
B) $\{5,6\}$.
C) $\{25,36\}$
D) $\{-25,36\}$.

Name: Solve by making a u-substitution -$\mathrm{x}-11 \sqrt{\mathrm{x}}+30=0$ A) $\{-5,6\}$ B) $\{5,6\}$. C) $\{25,36\}$ D) $\{-25,36\}$.
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Question

Quizplus · Accepted Answer

By letting $u = \sqrt{x}$, we get $u^2 - 11u + 30 = 0$, which factors to $(u-5)(u-6) = 0$. Solving for $u$ gives $u = 5$ and $u = 6$. Substituting back for $x$, we get $x = u^2$, so $x = 25$ and $x = 36$.

Solve by Making a U-Substitution - x−11x+30=0\mathrm{x}-11 \sqrt{\mathrm{x}}+30=0x−11x​+30=0 A) {−5,6}\{-5,6\}{−5,6} B) {5,6}\{5,6\}{5,6} C)

Solve by Making a U-Substitution
- $\mathrm{x}-11 \sqrt{\mathrm{x}}+30=0$ A) $\{-5,6\}$ B) $\{5,6\}$
C)