Advertisements
Advertisements
प्रश्न
If `x + (1)/x = 3`; find `x^4 + (1)/x^4`
योग
Advertisements
उत्तर
squaring both sides of the equation `(x^2 + (1)/x^2)` = 7 , we get:
`x^4 + (1)/x^4 + 2`
= 49
`x^4 + (1)/x^4`
= 47.
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
Write in the expanded form: `(x/y + y/z + z/x)^2`
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
Evaluate of the following:
(99)3
If a − b = −8 and ab = −12, then a3 − b3 =
If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a2 - b2.
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Evaluate the following without multiplying:
(103)2
Simplify:
(x + y - z)2 + (x - y + z)2
