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Question

Number of real roots of x+1x2=5

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Solution

Solution:-
x+1x2=5{Given}
x5=1x2
Squaring both sides, we have
(x5)2=(1x2)2
x2+252×5×x=1x2
x2+2510x=1x2
2x210x+24=0
D=b24ac=(10)24×2×24=92
Since D<0, there will be no real roots.

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