Question

Rewrite! Write an new and equivalent equation that is easier to solve

Answer 1

$\sf{ 7( \sqrt{m+1} - 3)=21}$

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$\sf{\sqrt{m+1} - 3)=\frac{21}{7}}$

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$\sf{ 7( \sqrt{m+1} - 3)=3}$

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$\sf{\sqrt{m+1} =6}$

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Get the power of 2 in both sides.

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$\sf{( \sqrt{m + 1})^2 = 6^2}$

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$\sf{m+1=36}$

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$\sf{m=35}$

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So the answer is m = 35

Answer 2

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$\sf 7( \sqrt{m + 1} - 3) = 21$

we will multiply 7 with bracket

$\sf 7 \sqrt{m + 1} - 21 = 21$

Now we will take (-21) on LHS to RHS

$\sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6$

Now we will do squaring both sides

$\sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}$