Question
Suppose [a + (1/16a)] = 3, then the value of [16a³ +
(1/256a³)] is:Solution
ATQ,
If a + 1/16a = 3
Cubing both sides, we get;
So, a³ + 1/4096a³ + 3 × a × 1/16a × 3 = 27
Or, a³ + 1/4096a³ = 27 – 9/16 = 423/16
Multiplying both sides by 16, we get;
16a³ + 1/256a³ = 423
More Algebra Questions
If (tan 8θ · tan 2θ = 1), then find the value of (tan 10θ).
2 × Tan 30° / (1 + Tan2 30°) equals:
What is the value of cosec30° sec30°?
If cos2B = sin(1.5B + 48o), then find the measure of 'B'.
Find the value of the given expression.
3 × (sin 30° + cos 60°)
- If √3 cosec 2x = 2, then the value of x:
- If sin A = √3/2, then what will be the value of sec² A?
Relevant for Exams:
