Question

Fiind the roots of equation: 1/x+4-1/x-7=11/13# -4,7

Answer 1

1/x+4-1/x-7=11/3
or, (x-7-x-4)/(x+4)(x-7)=11/13
or, -11/(x²+4x-7x-28)=11/13
or,-1/(x²-3x-28)=1/13
or, -13=x²-3x-28
or, x²-3x-28+13=0
or, x²-3x-15=0
or, $x= \frac{-(-3)+- \sqrt{ (-3)^{2}-4.1.(-15) } }{2.1}$
or, $x= \frac{3+- \sqrt{9+60} }{2}$
or, $x= \frac{3+- \sqrt{69} }{2}$
Either, $x= \frac{3+ \sqrt{69} }{2}$
Or, $x= \frac{3- \sqrt{69} }{2}$

Answer 2

Answer:

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Step-by-step explanation:

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