(x-3)(x-4)=34/34^2

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Solution for (x-3)(x-4)=34/34^2 equation: 


x in (-oo:+oo)

(x-3)*(x-4) = 34/(34^2) // - 34/(34^2)

(x-3)*(x-4)-(34/(34^2)) = 0

(x-3)*(x-4)-34*34^-2 = 0

(x-3)*(x-4)-1/34 = 0

(34*(x-3)*(x-4))/34-1/34 = 0

34*(x-3)*(x-4)-1 = 0

34*x^2-238*x+407 = 0

34*x^2-238*x+407 = 0

34*x^2-238*x+407 = 0

DELTA = (-238)^2-(4*34*407)

DELTA = 1292

DELTA > 0

x = (1292^(1/2)+238)/(2*34) or x = (238-1292^(1/2))/(2*34)

x = (2*323^(1/2)+238)/68 or x = (238-2*323^(1/2))/68

(x-((238-2*323^(1/2))/68))*(x-((2*323^(1/2)+238)/68)) = 0

((x-((238-2*323^(1/2))/68))*(x-((2*323^(1/2)+238)/68)))/34 = 0

((x-((238-2*323^(1/2))/68))*(x-((2*323^(1/2)+238)/68)))/34 = 0 // * 34

(x-((238-2*323^(1/2))/68))*(x-((2*323^(1/2)+238)/68)) = 0

( x-((2*323^(1/2)+238)/68) )

x-((2*323^(1/2)+238)/68) = 0 // + (2*323^(1/2)+238)/68

x = (2*323^(1/2)+238)/68

( x-((238-2*323^(1/2))/68) )

x-((238-2*323^(1/2))/68) = 0 // + (238-2*323^(1/2))/68

x = (238-2*323^(1/2))/68

x in { (2*323^(1/2)+238)/68, (238-2*323^(1/2))/68 }

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