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Solve the equation: 3 √ 2 m + 5 = √ 6 m + 93 Answer: m =

Solve the equation: 3 √ 2 m + 5 = √ 6 m + 93 Answer: m =-example-1
User Henrik N
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1 Answer

2 votes

Answer:

m = 4

Step-by-step explanation:

Given the below equation;


3√(2m+5)=√(6m+93)

We'll follow the below steps to determine the value of m;

Step 1: Square both sides;


\begin{gathered} (3√(2m+5))^2=(√(6m+93))^2 \\ 9(2m+5)=6m+93 \\ 18m+45=6m+93 \end{gathered}

Step 2: Subtract 6m from both sides and subtract 45 from both sides;


\begin{gathered} 18m-6m+45=6m-6m+93 \\ 12m+45=93 \\ 12m+45-45=93-45 \\ 12m=48 \end{gathered}

Step 3: Divide both sides of the equation by 12;


\begin{gathered} (12m)/(12)=(48)/(12) \\ m=4 \end{gathered}

So the value of m is 4

User Murad Tagirov
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