Question

Solve quadratic equation$9y^2+12y+4=9$ using square root property

Short answer

The values of$y$arelocalid="1645451343622" $\frac{1}{3}$andlocalid="1645451351981" $-\frac{5}{3}$

Step-by-step solution

Step 1. Given information  

The quadratic equation$9y^2+12y+4=9$

Step 2. Factor the perfect square trinomial  

$\Rightarrow {\left(3y+2\right)}^2=9$

Step 3. Use square root property  

$\Rightarrow 3y+2=\pm 3$

$\Rightarrow 3y=\pm 3-2$

$\Rightarrow y=\frac{1}{3}$and$y=-\frac{5}{3}$