Question

Solve quadratic equation$64x^2+144x+81=25$ using square root property

Short answer

The values of$x$are$-\frac{7}{4}$and$-\frac{1}{2}$

Step-by-step solution

Step 1. Given information 

The quadratic equation$64x^2+144x+81=25$

Step 2. Factor the perfect square trinomial  

$\Rightarrow {\left(8x+9\right)}^2=25$

Step 3. Use square root property  

$\Rightarrow 8x+9=\pm 5$

$\Rightarrow 8x=\pm 5-9$

$\Rightarrow x=-\frac{7}{4}$and$x=-\frac{1}{2}$