SOLUTION: Solve the equation by completeing the square...... W squared minus sixW minus two equals zero FourXsquared minus tweleveX plus four equals zero

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Question 445915: Solve the equation by completeing the square......
W squared minus sixW minus two equals zero
FourXsquared minus tweleveX plus four equals zero
Answer by stanbon(75887) (Show Source):
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Solve the equation by completing the square......
W squared minus sixW minus two equals zero
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w^2-6w-2 = 0
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w^2-6w+? = 2+?
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w^2-6w+9 = 2+9
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(w+3)^2 = 11
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w+3 = sqrt(11) or w+3 = -sqrt(11)
x = -3+sqrt(11) or w = -3-sqrt(11)
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FourXsquared minus tweleveX plus four equals zero
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4x^2-12x+4 = 0
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x^2-3x+1 = 0
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x^2-3x+? = -1+?
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x^2-3x+(3/2)^2 = -1+(3/2)^2
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(x+(3/2))^2 = 5/4
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x+(3/2) = sqrt(5)/2 or x+(3/2) = -sqrt(5)/2
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x = -(3/2)+sqrt(5)/2 or x = -(3/2)-sqrt(5)/2
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Cheers,
Stan H.
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