Question

Solve quadratic equation$36x^2-24x+4=81$ using square root property

Short answer

The values of$x$are$\frac{11}{6}$and$-\frac{7}{6}$

Step-by-step solution

Step 1. Given information  

The quadratic equation$36x^2-24x+4=81$

Step 2. Factor the perfect square trinomial 

$\Rightarrow {\left(6x-2\right)}^2=81$

Step 3. Use square root property 

$\Rightarrow 6x-2=\pm 9$

$\Rightarrow 6x=2\pm 9$

$\Rightarrow x=\frac{11}{6}$and$x=-\frac{7}{6}$