Question

if x plus one upon X equal to 5 find the value of x ki power 4 + 1 upon x ki power 4 ​

Answer 1

Answer:

This is the answer with complete working

Answer 2

The required solution is 527.

Step-by-step explanation:

It is given that  $x+\frac{1}{x} =5$

To find $x^{4}+\frac{1}{x^{4} }$

$x+\frac{1}{x} =5$

Square both sides

$(x+\frac{1}{x} )^{2} =5^{2} \\\\\Rightarrow x^{2} +\frac{1}{x^{2} } +2\times x\times\frac{1}{x}=25\\ \\\Rightarrow x^{2} +\frac{1}{x^{2} }+2=25\\\\\Rightarrow x^{2} +\frac{1}{x^{2} }=25-2\\\\\Rightarrow x^{2} +\frac{1}{x^{2} }=23$

Again Square both sides.

$\Rightarrow (x^{2} +\frac{1}{x^{2} })^{2} =23^{2} \\\\\Rightarrow x^{4} +\frac{1}{x^{4} } +2\times x^{2} \times \frac{1}{x^{2} } =529\\\\\Rightarrow x^{4} +\frac{1}{x^{4} } +2 =529\\\\\Rightarrow x^{4} +\frac{1}{x^{4} }=529-2\\\\\Rightarrow x^{4} +\frac{1}{x^{4} }=527$

Learn More:

(a-1/a)² = 3 then (a^6+1/a^6)=?​

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