Question

solve the following equation by completing the square method
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Answer 1

Step-by-step explanation:

9y^2-6y+3y-2=0

3y(3y-2)+1(3y-2)

(3y+1)(3y-2)

3y=-1

y=-1/3

3y=2

y=2/3

Answer 2

Answer:

y= { 3±√(8a+9)}/2

Step-by-step explanation:

ay²-3y-2=0

Taking -2 to right

ay²-3y=2

multiplying by 4a

4a²y²-12ay=8a

adding b²=(-3)²=9

4a²y²-12ay+9=8a+9

(2ay-3)²=8a+9

2y-3=­±√(8a+9)

2y=3±√(8a+9)

y= { 3±√(8a+9)}/2