Question

if (x+1/x)² =3 , find x³+1/x³​

Answer 1

Answer:

this is your answer

i hope this is helpful

Answer 2

As we see that the x has a power of 3 so we begin by cubbing the whole equation.

So we start solving this:

$x + 1/x = 3$

$(x + 1/x) {}^{3} = 3 {}^{3}$

$x {}^{3} + 3.x {}^{2}.1/x + 3.x.1/x {}^{2} + 1/x {}^{3} = 27$

$(x {}^{3} + 1/x {}^{3}) + 3.x {}^{2}.1/x + 3.x.1 /x {}^{2} = 27$

$x {}^{3} + 1/x {}^{3} + (3x + 3/x) = 27$

$x {}^{3} + 1/x {}^{3} + 3(x + 1/x) = 27$

$x {}^{3} + 1/x {}^{3} + 3 \times 3 = 27$

$x {}^{3} + 1/x {}^{3} + 9 = 27$

$x {}^{ 3} + 1/x {}^{3} = 18$

$∴ Therefore \: the \: Answer \: is \: 18.$

step by step Explanation:

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