Question

Solve quadratic equation using the square root property:$4a^2=100$

Short answer

The required result is$a=5$ or$-5$

Step-by-step solution

Given information 

The given expression is$4a^2=100$

 Simplifying the equation

Divide both sides of the equation by $4$

$\frac{4a^2}{4}=\frac{100}{4}$

$a^2=25$

Square Root Property 

If $x^2=k$and $k\ge 0$then $x=\sqrt{k}orx=-\sqrt{k}$

$25\ge 0$

$a=\sqrt{25}ora=-\sqrt{25}$

$a=5or-5$