Question

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

Answer 1

`\sf{ 7( √(m+1) - 3)=21}`

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`\sf{√(m+1) - 3)=(21)/(7)}`

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`\sf{ 7( √(m+1) - 3)=3}`

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`\sf{√(m+1) =6}`

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Get the power of 2 in both sides.

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`\sf{( √(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( √(m + 1) - 3) = 21`

we will multiply 7 with bracket

`\sf 7 √(m + 1) - 21 = 21`

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

`\sf 7 √(m + 1) = 21 + 21 \\ \\ \sf7 √(m + 1 ) = 42 \\ \\ \sf √(m + 1) = (42)/(7) \\ \\ \sf √(m + 1) = 6`

Now we will do squaring both sides

`\sf {( √(m + 1)) }^(2) = {(6)}^(2) \\ \\ \sf \red {m + 1 = 36}`