Question

x^-241+241= 521x+2%

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Answer 1

Answer:

$\boxed{x\approx 0.988}$

Step-by-step explanation:

$x^{-241}+241=521x+0.02\\\\\implies \frac{1}{x^{241}}-521x=0.02-241\\\\\implies 521 x - \frac{1}{x^{241}}=241-0.02$

$\implies \frac{521x\timesx^{242}-1}{x^{241}}=240.98\\\\\implies 521x^{242}-1=240.98x^{242}\\\\\implies x^{242}(521-240.98)=1$

$\implies x^{242}(279.02)=1\\\\\implies x^{242}=\frac{1}{279.02}\\\\\implies x^{242}=0.0036\\\\\implies x\approx 0.988$

Answer 2

x^-241+241 =521x +2%

=x^0 =521x + 2/x*100

= 1 = 521x^2/x+200/x

= 1x = 521x^2+200

= 521x^3 = 200

= x^3=200/521

x=(200/521)^-1/3