Question

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

Answer 1

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