1/2(x-1)^2-7=43

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Solution for 1/2(x-1)^2-7=43 equation:


x in (-oo:+oo)

(1/2)*(x-1)^2-7 = 43 // - 43

(1/2)*(x-1)^2-43-7 = 0

1/2*(x-1)^2-43-7 = 0

1/2*(x-1)^2-43-7 = 0

1/2*x^2-x-85/2-7 = 0

1/2*x^2-x-99/2 = 0

1/2*x^2-x-99/2 = 0

1/2*x^2-x-99/2 = 0

DELTA = (-1)^2-(-99/2*1/2*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+1)/(1/2*2) or x = (1-100^(1/2))/(1/2*2)

x = 11 or x = -9

(x+9)*(x-11) = 0

(x+9)*(x-11) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-11 )

x-11 = 0 // + 11

x = 11

x in { -9, 11 }

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