Question 742354
Solve the equation by completing the square: 4x^2 - 17x + 24 = 0
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4x^2 - 17x + 24 = 0
4x^2 - 17x = -24
x^2 - (17/4)x = -6
c to added = (b/2a)^2 = (17/8)^2
c = 289/64
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x^2 - (17/4)x + 289/64 = -6 + 289/64 = -95/64
(x - 17/8)^2 = -95/64
{{{x - 17/8 = sqrt(-95)/8}}}
{{{x = 17/8 + i*sqrt(95)/8}}}
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{{{x - 17/8 = -sqrt(-95)/8}}}
{{{x = 17/8 - i*sqrt(95)/8}}}
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*[invoke solve_quadratic_equation 4,-17,24]