Question

X^2+1/x^2=119 then what is the value of x^3+1/x^3

Answer 1

(x+1/x)²=x²+1/x²+2
(x+1/x)²=119+2
(x+1/x)²=121
x+1/x=11


(x+1/x)³=x³+1/x³+3(x+1/x)
(11)³=x³+1/x³+3(11)
1331=x³+1/x³+33
1331-33=x³+1/x³
1298=x³+1/x³




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Answer 2

$2^x + 1 = 3^1^-^x$

$(e^I^n^(^2^))^x ^ + ^1 = (e^I^n^(^3^))^1^ - ^ x$

$e^I^n^(^2^) ^(^x^+^1^) = e^I^n^(^3^)^(^1^-^x^)$

$ln(2)(x+1)=ln(3) (1 - x)$

$ln(2)x+ln(2) = ln(3) - In(3)x$

$(ln(2)+ln(3))x=ln(3) - In(2)$

$ln(6)x=ln(3) - ln(2)$

$x = \frac{In(3) - In(2)}{In(6)}$