Question
If x = 3 + 22, then the value of \(\left(x-\frac{1}{x}\right)\) is :
Answer: Option B
Was this answer helpful ?
\(\left(x-\frac{1}{x}\right)^{2} = x+\frac{1}{x}-2\)
= (3 + 22) + \(\frac{1}{(3+22)}-2\)
= (3 + 22) + \(\frac{1}{(3+22)}-2\times \frac{{(3-22)}}{{(3-22)}}-2\)
= (3 + 22) + (3 - 22) - 2
= 4.
Therefore \(\left(x-\frac{1}{x}\right) = 2.\)
Was this answer helpful ?
More Questions on This Topic :
Question 1. (17)3.5 × (17)? = 178....
Question 4. If 5a = 3125, then the value of 5(a - 3) is:....
Question 6. (256)0.16 × (256)0.09 = ?....
Question 7. The value of [(10)150 ÷ (10)146]....
Question 8. **Hidden Equation**
Question 9. (25)7.5 × (5)2.5 ÷ (125)1.5 = 5?....
Question 10. (0.04)-1.5 = ?....
Latest Videos
Latest Test Papers
Submit Solution