2(x-17/4)^2-121/8=0

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Solution for 2(x-17/4)^2-121/8=0 equation: 


x in (-oo:+oo)

2*(x-(17/4))^2-(121/8) = 0

2*(x-17/4)^2-121/8 = 0

(2*8*(x-17/4)^2)/8-121/8 = 0

2*8*(x-17/4)^2-121 = 0

16*x^2-136*x+168 = 0

16*x^2-136*x+168 = 0

8*(2*x^2-17*x+21) = 0

2*x^2-17*x+21 = 0

DELTA = (-17)^2-(2*4*21)

DELTA = 121

DELTA > 0

x = (121^(1/2)+17)/(2*2) or x = (17-121^(1/2))/(2*2)

x = 7 or x = 3/2

8*(x-3/2)*(x-7) = 0

(8*(x-3/2)*(x-7))/8 = 0

(8*(x-3/2)*(x-7))/8 = 0 // * 8

8*(x-3/2)*(x-7) = 0

( x-3/2 )

x-3/2 = 0 // + 3/2

x = 3/2

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 3/2, 7 }

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