Question
If (x – 1/x) = 3, find (x³ –
1/x³).Solution
ATQ,
(x – 1/x)³ = x³ – 1/x³ – 3(x – 1/x) 27 = (x³ – 1/x³) – 9 ⇒ x³ – 1/x³ = 36.
More Algebra Questions
x = 7 - 4√3 then the value of x³+1/x³ is equal to?
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If a3 — b3 = 602 and a— b = 2, then find the value of( a2 + b2)
If tan x + cot x = 7, find tan3 x + cot3 x = ?
if x2 – 2x + 1 = 0, then find the value of (x7 + x5 + x4 + x2)/x ?
25, 25.8, 27.4, 29, 33, 37
If (a2 + 1/a2 ) = 66, then find the value of (a3 – 1/a3 ).
- If (u + v) = 11 and uv = 24, then find the value of (u² + v²).
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c &n...
