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FromTheMoon [43]
2 years ago
5

I’m confused on this

Mathematics
2 answers:
dexar [7]2 years ago
4 0

\huge\boxed{x=25}

The mistake is in Step 1. The solver should have also squared 9 when squaring the other side of the equation.

<h3>Correctly solving</h3>

\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}

goldfiish [28.3K]2 years ago
3 0

Answer:

x = 25

Step-by-step explanation:

The mistake here is the squaring. When you square one side, you have to do the same on the other side:

\sqrt{3x+6} = 9

(\sqrt{3x+6}) ^{2} = 9^{2}

3x + 6 = 81

3x = 75

x = 25

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