Question

Solve$25p^2=49$$25p^2=49$

Short answer

The value is$p=\pm \frac{7}{5}$

Step-by-step solution

Given information

Given the equation,$25p^2=49$

Writing in standard form

Writing in standard form, we get

$$\begin{gathered} 25p^2-49=0 \\ (5p-7)(5p+7)=0 \\ p=\frac{7}{5},-\frac{7}{5} \end{gathered}$$

Checking the values

Checking the values, we get

$$\begin{gathered} 25{\left(\frac{7}{5}\right)}^2=49 \\ 25\times \frac{49}{25}=49 \\ 49=49 \end{gathered}$$

Checking another value

Checking the value, we get

$$\begin{gathered} 25{\left(\frac{-7}{5}\right)}^2=49 \\ 25\times \frac{49}{25}=49 \\ 49=49 \end{gathered}$$

This is true