(x-3)(x-4)=34/33*33

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Solution for (x-3)(x-4)=34/33*33 equation:


x in (-oo:+oo)

(x-3)*(x-4) = 33*(34/33) // - 33*(34/33)

(x-3)*(x-4)-(33*(34/33)) = 0

(x-3)*(x-4)-34 = 0

(x-3)*(x-4)-34 = 0

x^2-7*x-22 = 0

x^2-7*x-22 = 0

x^2-7*x-22 = 0

DELTA = (-7)^2-(-22*1*4)

DELTA = 137

DELTA > 0

x = (137^(1/2)+7)/(1*2) or x = (7-137^(1/2))/(1*2)

x = (137^(1/2)+7)/2 or x = (7-137^(1/2))/2

(x-((7-137^(1/2))/2))*(x-((137^(1/2)+7)/2)) = 0

(x-((7-137^(1/2))/2))*(x-((137^(1/2)+7)/2)) = 0

( x-((137^(1/2)+7)/2) )

x-((137^(1/2)+7)/2) = 0 // + (137^(1/2)+7)/2

x = (137^(1/2)+7)/2

( x-((7-137^(1/2))/2) )

x-((7-137^(1/2))/2) = 0 // + (7-137^(1/2))/2

x = (7-137^(1/2))/2

x in { (137^(1/2)+7)/2, (7-137^(1/2))/2 }

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