96-(1/3)*(x-15)^2

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Solution for 96-(1/3)*(x-15)^2 equation: 


x in (-oo:+oo)

96-((1/3)*(x-15)^2) = 0

(-1/3)*(x-15)^2+96 = 0

96-1/3*(x-15)^2 = 0

96-1/3*(x-15)^2 = 0

10*x-1/3*x^2+21 = 0

10*x-1/3*x^2+21 = 0

10*x-1/3*x^2+21 = 0

DELTA = 10^2-(-1/3*4*21)

DELTA = 128

DELTA > 0

x = (128^(1/2)-10)/(-1/3*2) or x = (-128^(1/2)-10)/(-1/3*2)

x = -3/2*(8*2^(1/2)-10) or x = -3/2*(-8*2^(1/2)-10)

(x+3/2*(8*2^(1/2)-10))*(x+3/2*(-8*2^(1/2)-10)) = 0

(x+3/2*(8*2^(1/2)-10))*(x+3/2*(-8*2^(1/2)-10)) = 0

( x+3/2*(-8*2^(1/2)-10) )

x+3/2*(-8*2^(1/2)-10) = 0 // - 3/2*(-8*2^(1/2)-10)

x = -(3/2*(-8*2^(1/2)-10))

x = -3/2*(-8*2^(1/2)-10)

( x+3/2*(8*2^(1/2)-10) )

x+3/2*(8*2^(1/2)-10) = 0 // - 3/2*(8*2^(1/2)-10)

x = -(3/2*(8*2^(1/2)-10))

x = -3/2*(8*2^(1/2)-10)

x in { -3/2*(-8*2^(1/2)-10), -3/2*(8*2^(1/2)-10) }

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