Question

Solve the quadratic equation.... Can you help e get this one?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

`4x^2=100`

STEP 2: Divide both sides by 4

`\begin{gathered} (4x^2)/(4)=(100)/(4) \\ x^2=25 \end{gathered}`

STEP 3: find the square root of both sides

`\begin{gathered} √(x^2)=√(25) \\ x=\pm5 \\ \therefore x=5,x=-5 \end{gathered}`

Hence, the solution of the quadratic equation are:

`\begin{gathered} x=5 \\ x=-5 \end{gathered}`