Advertisements
Advertisements
Question
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
Sum
Advertisements
Solution
`x^2 + (1)/x^2 = 18`
Using `(x - 1/x)^2`
= `x^2 + (1)/x^2 - 2`
⇒ `(x - 1/x)^2`
= 18 - 2
= 16
⇒ `x - (1)/x`
= 4.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Evaluate following using identities:
991 ☓ 1009
Evaluate of the following:
(103)3
Evaluate the following:
(98)3
Evaluate:
(0.2)3 − (0.3)3 + (0.1)3
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Use the direct method to evaluate :
(3b−1) (3b+1)
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
Factorise the following:
4x2 + 20x + 25
Expand the following:
(3a – 2b)3
