7x/x^2-49=x

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Solution for 7x/x^2-49=x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(7*x)/(x^2)-49 = x // - x

(7*x)/(x^2)-x-49 = 0

7*x^-1-1*x^1-49*x^0 = 0

(7*x^0-1*x^2-49*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-1*x^2-49*x^1) = 0

x^1

7-x^2-49*x = 0

7-x^2-49*x = 0

DELTA = (-49)^2-(-1*4*7)

DELTA = 2429

DELTA > 0

x = (2429^(1/2)+49)/(-1*2) or x = (49-2429^(1/2))/(-1*2)

x = (2429^(1/2)+49)/(-2) or x = (49-2429^(1/2))/(-2)

x in { (2429^(1/2)+49)/(-2), (49-2429^(1/2))/(-2)} 

x in { (2429^(1/2)+49)/(-2), (49-2429^(1/2))/(-2) }

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