If x=7+3√5/7-3√5
Find value of x²+1/x²
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Answer:
Step-by-step explanation:
Given=7+4√3
x²=(7+4√3)²= 7²+4√3²+2×4√3×7
=49+16×3+14×4√3
=97+56√3
rationalize
1/x²=97-(56√3)/97²-56√3²
=97-(56√3)/1
=97-56√3
x²+1/x²= 97+56√3+(97-56√3)
= 97+97
=194
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