please give me the answer of THIS
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Hello friend
x=2+√3
x²=(2+√3)²
(a+b)²=a²+2ab+b²
x²=2²+2×2×√3+√3²
x²=4+4√3+3
x²=7+4√3
1/x²=1/(7+4√3)
By rationalising the denominator
=(7-4√3)/(7+4√3)(7-4√3)
=7-4√3/7²-(4√3)²
=7-4√3/49-16×3
=7-4√3/49-48
=7-4√3/1
____________________________
x²+1/x²=(7+4√3)+(7-4√3)
=7+7+4√3-4√3
=14
Hope it helps!
x=2+√3
x²=(2+√3)²
(a+b)²=a²+2ab+b²
x²=2²+2×2×√3+√3²
x²=4+4√3+3
x²=7+4√3
1/x²=1/(7+4√3)
By rationalising the denominator
=(7-4√3)/(7+4√3)(7-4√3)
=7-4√3/7²-(4√3)²
=7-4√3/49-16×3
=7-4√3/49-48
=7-4√3/1
____________________________
x²+1/x²=(7+4√3)+(7-4√3)
=7+7+4√3-4√3
=14
Hope it helps!
Answered by
1
Hope you got the answer as 14.
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