(2x-7)/x=(x-3)/4

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Solution for (2x-7)/x=(x-3)/4 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(2*x-7)/x = (x-3)/4 // - (x-3)/4

(2*x-7)/x-((x-3)/4) = 0

(2*x-7)/x+(-1*(x-3))/4 = 0

(4*(2*x-7))/(4*x)+(-1*x*(x-3))/(4*x) = 0

4*(2*x-7)-1*x*(x-3) = 0

11*x-x^2-28 = 0

11*x-x^2-28 = 0

11*x-x^2-28 = 0

DELTA = 11^2-(-28*(-1)*4)

DELTA = 9

DELTA > 0

x = (9^(1/2)-11)/(-1*2) or x = (-9^(1/2)-11)/(-1*2)

x = 4 or x = 7

(x-4)*(x-7) = 0

((x-4)*(x-7))/(4*x) = 0

((x-4)*(x-7))/(4*x) = 0 // * 4*x

(x-4)*(x-7) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 4, 7 }

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