6(x+7)/17(x-4)=1

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Solution for 6(x+7)/17(x-4)=1 equation:


x in (-oo:+oo)

((6*(x+7))/17)*(x-4) = 1 // - 1

((6*(x+7))/17)*(x-4)-1 = 0

(6*(x+7)*(x-4))/17-1 = 0

(6*(x+7)*(x-4))/17+(-1*17)/17 = 0

6*(x+7)*(x-4)-1*17 = 0

6*x^2+18*x-185 = 0

6*x^2+18*x-185 = 0

6*x^2+18*x-185 = 0

DELTA = 18^2-(-185*4*6)

DELTA = 4764

DELTA > 0

x = (4764^(1/2)-18)/(2*6) or x = (-4764^(1/2)-18)/(2*6)

x = (2*1191^(1/2)-18)/12 or x = (-2*1191^(1/2)-18)/12

(x-((-2*1191^(1/2)-18)/12))*(x-((2*1191^(1/2)-18)/12)) = 0

((x-((-2*1191^(1/2)-18)/12))*(x-((2*1191^(1/2)-18)/12)))/17 = 0

((x-((-2*1191^(1/2)-18)/12))*(x-((2*1191^(1/2)-18)/12)))/17 = 0 // * 17

(x-((-2*1191^(1/2)-18)/12))*(x-((2*1191^(1/2)-18)/12)) = 0

( x-((-2*1191^(1/2)-18)/12) )

x-((-2*1191^(1/2)-18)/12) = 0 // + (-2*1191^(1/2)-18)/12

x = (-2*1191^(1/2)-18)/12

( x-((2*1191^(1/2)-18)/12) )

x-((2*1191^(1/2)-18)/12) = 0 // + (2*1191^(1/2)-18)/12

x = (2*1191^(1/2)-18)/12

x in { (-2*1191^(1/2)-18)/12, (2*1191^(1/2)-18)/12 }

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