Question

Solve quadratic equation using the square root property: $\frac{2}{3}{w}^2-20=30$.

Short answer

The required result is$w=\pm 5\sqrt{3}$

Step-by-step solution

Given information  

The given expression is$\frac{2}{3}{w}^2-20=30$

 Simplifying the equation 

Add 20 both side of equation .

$\frac{2}{3}{w}^2=50$

Simplify further ,

$w^2=75$

Use square root property 

If $x^2=k$and $k\ge 0$then , $x=\pm \sqrt{k}$

$75\ge 0$

$w=\pm \sqrt{75}$

$w=\pm 5\sqrt{3}$