Solve the following quadratic equation by completing the square method.
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Answer:
Two solutions of quadratic equation are
y=(√2+2)/3 and y=(-√2+2)/3
Step-by-step explanation:
Given: 9y^2-12y+2=0
Step 1: Using square method,
=>9y^2-12y+2=0
=>9y^2-12y=-2
=>(3y)^2-2(3y)(2) = -2
Step 2: Adding 2^2 to both sides
=>(3y)^2-2(3y)(2)+2^2 = -2 + 2^2
=>(3y-2)^2=2
Case 1: 3y-2=√2
y=(√2+2)/3
Case 2: 3y-2= -√2
y=(-√2+2)/3
Solution :Two solutions of quadratic equation are
y=(√2+2)/3 and y=(-√2+2)/3
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2
I hope it will help you
Just understand it, it is really easy
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