Question

Solve$2x^2=98$.

Short answer

The solutions are$x=7,x=-7$.

Step-by-step solution

Given Information.  

The Given equation is$2x^2=98$.

Isolate the quadratic term and makes its coefficient one.   

$$\begin{gathered} 2x^2=98 \\ {x}^2=\frac{98}{2} \\ {x}^2=49 \end{gathered}$$

Use the square root property.  

$x=\pm \sqrt{49}$

Simplify the radical. 

Factor the radicand.

$$\begin{gathered} x=\pm \sqrt{7\times 7} \\ x=\pm 7 \end{gathered}$$

Rewrite to show two solutions.

$x=7,x=-7$