(5)/(x-7)+(7)/2(x-7)

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Solution for (5)/(x-7)+(7)/2(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

5/(x-7)+(7/2)*(x-7) = 0

5/(x-7)+7/2*(x-7) = 0

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

7/2*(x-7)^2+5 = 0

7/2*x^2-49*x+353/2 = 0

7/2*x^2-49*x+353/2 = 0

7/2*x^2-49*x+353/2 = 0

DELTA = (-49)^2-(7/2*4*353/2)

DELTA = -70

DELTA < 0

1 = 0

1/(x-7) = 0

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

1 = 0

x belongs to the empty set

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