Question

a+1/a=5 tb a ki power4+1/aki power 4=?​

Answer 1

Answer:

527

Step-by-step explanation:

$a+\frac{1}{a}=5\\squaring\ both \ sides\\(a +\frac{1}{a})^2 =5^2\\a^2+(\frac{1}{a})^2+2\times a\times \frac{1}{a}=25\\a^2+\frac{1}{a^2}+2=25\\a^2+\frac{1}{a^2}=23\\Squaring\ both\ sides\ again\\(a^2+\frac{1}{a^2})^2=529\\a^4+(\frac{1}{a^2})^2+2\times a^2 \times \frac{1}{a^2}=529\\a^4+\frac{1}{a^4}+2=529\\a^4+\frac{1}{a^4}=527$