9y2-12y+2=0 solve the example by completing square method
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Solve by Completing the Square 9y^2-12y-2=0
9y2−12y−2=09y2-12y-2=0
Since −2-2 does not contain the variable to solve for, move it to the right side of theequation by adding 22 to both sides.
9y2−12y=29y2-12y=2
Divide each term by 99 and simplify.
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y2−4y3=29y2-4y3=29
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of yy.
(b2)2=(−23)2(b2)2=(-23)2
Add the term to each side of the equation.
y2−4y3+(−23)2=29+(−23)2y2-4y3+(-23)2=29+(-23)2
Simplify the equation.
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y2−4y3+49=23y2-4y3+49=23
Factor the perfect trinomial square into (y−23)2(y-23)2.
(y−23)2=23(y-23)2=23
Solve the equation for yy.
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y=23±√63
Algebra Examples
Popular Problems
Algebra
Solve by Completing the Square 9y^2-12y-2=0
9y2−12y−2=09y2-12y-2=0
Since −2-2 does not contain the variable to solve for, move it to the right side of theequation by adding 22 to both sides.
9y2−12y=29y2-12y=2
Divide each term by 99 and simplify.
Tap for more steps...
y2−4y3=29y2-4y3=29
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of yy.
(b2)2=(−23)2(b2)2=(-23)2
Add the term to each side of the equation.
y2−4y3+(−23)2=29+(−23)2y2-4y3+(-23)2=29+(-23)2
Simplify the equation.
Tap for more steps...
y2−4y3+49=23y2-4y3+49=23
Factor the perfect trinomial square into (y−23)2(y-23)2.
(y−23)2=23(y-23)2=23
Solve the equation for yy.
Tap for more steps...
y=23±√63
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81y-12y+2=0
69y+2=0
69y=-2
y=-2/69
69y+2=0
69y=-2
y=-2/69
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