Question

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

Short answer

The values of$x$arerole="math" localid="1644944544921" $\frac{33}{5}$androle="math" localid="1644944554264" $-\frac{27}{5}$

Step-by-step solution

Step 1. Write the given information

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

Step 2. Factor the perfect square trinomial

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

Step 3. Use square root property

$x-\frac{3}{5}=\pm \sqrt{36}$

$\Rightarrow x=\frac{3}{5}\pm 6$

$\Rightarrow x=\frac{33}{5}$and$x=-\frac{27}{5}$