Question

Solve a quadratic equation$25x^2-30x+9=36$using square root property

Short answer

The values of$x$are$\frac{9}{5}$and$-\frac{3}{5}$

Step-by-step solution

Step 1. Given information 

The quadratic equation$25x^2-30x+9=36$

Step 2. Factor the perfect square trinomial 

$\Rightarrow {\left(5x-3\right)}^2=36$

Step 3. Use square root property 

$\Rightarrow 5x-3=\pm 6$

$\Rightarrow 5x=\pm 6+3$

localid="1645190460132" $\Rightarrow x=\frac{9}{5}$andlocalid="1645190472156" $x=-\frac{3}{5}$