(x-4)(x-5)=34/33*33

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Solution for (x-4)(x-5)=34/33*33 equation: 


x in (-oo:+oo)

(x-4)*(x-5) = 33*(34/33) // - 33*(34/33)

(x-4)*(x-5)-(33*(34/33)) = 0

(x-4)*(x-5)-34 = 0

(x-4)*(x-5)-34 = 0

x^2-9*x-14 = 0

x^2-9*x-14 = 0

x^2-9*x-14 = 0

DELTA = (-9)^2-(-14*1*4)

DELTA = 137

DELTA > 0

x = (137^(1/2)+9)/(1*2) or x = (9-137^(1/2))/(1*2)

x = (137^(1/2)+9)/2 or x = (9-137^(1/2))/2

(x-((9-137^(1/2))/2))*(x-((137^(1/2)+9)/2)) = 0

(x-((9-137^(1/2))/2))*(x-((137^(1/2)+9)/2)) = 0

( x-((137^(1/2)+9)/2) )

x-((137^(1/2)+9)/2) = 0 // + (137^(1/2)+9)/2

x = (137^(1/2)+9)/2

( x-((9-137^(1/2))/2) )

x-((9-137^(1/2))/2) = 0 // + (9-137^(1/2))/2

x = (9-137^(1/2))/2

x in { (137^(1/2)+9)/2, (9-137^(1/2))/2 }

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