if x=7+4√3 then find the value of x^2-1/x^2
Answers
Answered by
1
Answer:
112√3
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)
= 2 * 56√3
=112√3
Answered by
6
Answer:
194
Step-by-step explanation:
Given
x = 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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