If x=2+√3, show that x^3+1/x^3=52
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Step-by-step explanation:
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Answered by
4
Answer:
...
Step-by-step explanation:
x=2+√3
so, 1/x = 1/(2+√3)
= 2- √3
then, x³+1/x³
= (x+1/x)³ - 3.x.1/x(x+1/x)
=(2+/√3+2-√3)³ - 3(2+√3+2-√3)
= (4)³- 12
= 64 - 12
= 52.
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