Question

Solve the equation for the missing variable. Assume all variables are positive. Express your answer to nearest tenth.a^2+6^2=14^2

Answer 1

`a\text{ = +12.6 or -12.6}`

Here, we want to solve the given equation

We proceed as follows;

`\begin{gathered} a^2+6^2=14^2 \\ a^2+36\text{ = 196} \\ a^2=\text{ 196-36} \\ a^2\text{ = 160} \\ a\text{ = }\sqrt[]{160} \\ a\text{ = +12.6 or -12.6} \end{gathered}`