Find the roots of the following equations:
1/x+4 - 1/x-7 = 11/30
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Step-by-step explanation:
1 - 1 = 11
x+4 x-7 30
x-7 - (x+4) = 11
x²-7x +4x -28 30
30x-210-30x-120 = 11(x²-3x-28)
-330 = 11(x²-3x-28)
-30= x²-3x-28
x²-3x-28+30 = 0
x²-3x +2 = 0 ( here we split the middle term)
x²-2x -x + 2 = 0
x(x-2) -1(x-2) = 0
(x-1) (x+1) = 0
therefore x= 1
x= 2
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