1/3(8x-1)^2+19=94

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Solution for 1/3(8x-1)^2+19=94 equation: 


x in (-oo:+oo)

(1/3)*(8*x-1)^2+19 = 94 // - 94

(1/3)*(8*x-1)^2-94+19 = 0

1/3*(8*x-1)^2-94+19 = 0

1/3*(8*x-1)^2-94+19 = 0

64/3*x^2-16/3*x-281/3+19 = 0

64/3*x^2-16/3*x-224/3 = 0

64/3*x^2-16/3*x-224/3 = 0

16/3*(4*x^2-x-14) = 0

4*x^2-x-14 = 0

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

DELTA = 225

DELTA > 0

x = (225^(1/2)+1)/(2*4) or x = (1-225^(1/2))/(2*4)

x = 2 or x = -7/4

16/3*(x+7/4)*(x-2) = 0

16/3*(x+7/4)*(x-2) = 0

( x+7/4 )

x+7/4 = 0 // - 7/4

x = -7/4

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -7/4, 2 }

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