(x^2-x-4)/2=25

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Solution for (x^2-x-4)/2=25 equation: 


x in (-oo:+oo)

(x^2-x-4)/2 = 25 // - 25

(x^2-x-4)/2-25 = 0

(x^2-x-4)/2+(-25*2)/2 = 0

x^2-x-25*2-4 = 0

x^2-x-54 = 0

x^2-x-54 = 0

x^2-x-54 = 0

DELTA = (-1)^2-(-54*1*4)

DELTA = 217

DELTA > 0

x = (217^(1/2)+1)/(1*2) or x = (1-217^(1/2))/(1*2)

x = (217^(1/2)+1)/2 or x = (1-217^(1/2))/2

(x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)) = 0

((x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)))/2 = 0

((x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)))/2 = 0 // * 2

(x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)) = 0

( x-((1-217^(1/2))/2) )

x-((1-217^(1/2))/2) = 0 // + (1-217^(1/2))/2

x = (1-217^(1/2))/2

( x-((217^(1/2)+1)/2) )

x-((217^(1/2)+1)/2) = 0 // + (217^(1/2)+1)/2

x = (217^(1/2)+1)/2

x in { (1-217^(1/2))/2, (217^(1/2)+1)/2 }

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