(1/X+4)-(1/x-7)=11/30
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Do the cross multiplication, we get
=> 30 = 11(x²-3x-28)/(-11)
=> 30 = -(x²-3x-28)
=> x²-3x-28+30 =0
=> x²-3x+2=0
Splitting the middle term, we get
=> x²-1x-2x+2 =0
=> x(x-1)-2(x-1)=0
=> (x-1)(x-2)=0
=>x-1 = 0 or x-2 = 0
=> x = 1 or x = 2
Therefore,
Roots of the given quadratic equation are 1 , 2
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