if x-1by x =15/4 then find x+1/x=
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Answer:
17/4
Step-by-step explanation:
x-1/x = 15/4
or, (x-1/x)²=(15/4)²
or, (x²-2.x.1/x+1/x²)=225/16
or, x²+1/x² -2 = 225/16
or, x²+1/x² = 225/16 + 2
or, x²+1/x² = 257/16
or, x²+1/x²+2 = 257/16 +2
or, x²+2.x.1/x+1/x² = 289/16
or, (x+1/x)² = (17/4)²
or, x+1/x = 17/4
so, (x+1/x) = 17/4
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