1.

If 4x2 + 1/(3x2) = 6, then find the value of 9x4 + 1/(16x4).1. 192. 18.253. 184. 18.75

Answer» Correct Answer - Option 4 : 18.75

Given:

4x2 + 1/3x2 = 6

Formula used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

As, 4x2 + 1/3x2 = 6

Multiplying both sides by 3/4, we’ll get

(3/4) × (4x2 + 1/3x2) = 6 × (3/4)

⇒ 3x2 + 1/4x2 = 9/2

Now squaring both sides, we’ll get

(3x2 + 1/4x2)2 = (9/2)2

⇒ 9x4 + 1/16x4 + 2 × 3x2 × (1/4x2) = 81/4

⇒ 9x4 + 1/16x4 + 3/2 = 81/4

⇒ 9x4 + 1/16x4 = 81/4 – 3/2

⇒ 9x4 + 1/16x4 = 18.75

 The value of 9x4 + 1/16x4 is 18.75



Discussion

No Comment Found

Related InterviewSolutions