Question

Solve the following quadratic equations by completing the square method.
9y2 – 12y + 2 = 0​

Answer 1

Step-by-step explanation:

Applications of Completing the Square

The method of completing the square may be applied in the following situation

1) to solve quadratic equations.

Example solve: 2x2+6x+5/2=0

We have completed the square in example 1 for the expression 2x2+6x+5/2=2(x+3/2)2−2 and therefore solving the given equation is equivalent to solving the equation

2(x+3/2)2−2=0

(x+3/2)2=1

x+3/2=±1–√

x=−3/2±1 , 2 solutions : x1=−5/2 , x2=−1/2