if x+1/x=7 then find the value of x square +1 /x2
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To find: x²+1/2x.
Given: x+1/x=7.
Proof:
x+1 = 7x
1 = 6x
x =1/6. ------(1)
x²+1/2x = (1/6)²+1 / 2*1/6 [Sub (1)]
=1/36+1 / 1/3
=37/36 / 1/3 (Took LCM)
=37/12.
Therefore we can conclude that x²+1/2x = 37/12
Given: x+1/x=7.
Proof:
x+1 = 7x
1 = 6x
x =1/6. ------(1)
x²+1/2x = (1/6)²+1 / 2*1/6 [Sub (1)]
=1/36+1 / 1/3
=37/36 / 1/3 (Took LCM)
=37/12.
Therefore we can conclude that x²+1/2x = 37/12
niki76:
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