-1/3(x-4)^2+10

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Solution for -1/3(x-4)^2+10 equation: 


x in (-oo:+oo)

(-1/3)*(x-4)^2+10 = 0

10-1/3*(x-4)^2 = 0

10-1/3*(x-4)^2 = 0

8/3*x-1/3*x^2+14/3 = 0

8/3*x-1/3*x^2+14/3 = 0

1/3*(8*x-x^2+14) = 0

8*x-x^2+14 = 0

DELTA = 8^2-(-1*4*14)

DELTA = 120

DELTA > 0

x = (120^(1/2)-8)/(-1*2) or x = (-120^(1/2)-8)/(-1*2)

x = (2*30^(1/2)-8)/(-2) or x = (-2*30^(1/2)-8)/(-2)

1/3*(x-((2*30^(1/2)-8)/(-2)))*(x-((-2*30^(1/2)-8)/(-2))) = 0

1/3*(x-((2*30^(1/2)-8)/(-2)))*(x-((-2*30^(1/2)-8)/(-2))) = 0

( x-((-2*30^(1/2)-8)/(-2)) )

x-((-2*30^(1/2)-8)/(-2)) = 0 // + (-2*30^(1/2)-8)/(-2)

x = (-2*30^(1/2)-8)/(-2)

( x-((2*30^(1/2)-8)/(-2)) )

x-((2*30^(1/2)-8)/(-2)) = 0 // + (2*30^(1/2)-8)/(-2)

x = (2*30^(1/2)-8)/(-2)

x in { (-2*30^(1/2)-8)/(-2), (2*30^(1/2)-8)/(-2) }

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