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