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If \(x + \frac{4}{x}-4=0,\) then the value of x2 – 4 is equal to:1. 42. 13. 24. 0 |
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Answer» Correct Answer - Option 4 : 0 Given: \(x + \frac{4}{x}-4=0\) Calculation: To find, x2 – 4 \(x + \frac{4}{x} - 4 = 0\) Multiply by x on both side ⇒ x2 + 4 – 4x = 0 ⇒ x2 – 2x – 2x + 4 = 0 ⇒ x(x – 2) – 2(x – 2) = 0 ⇒ (x – 2)(x – 2) = 0 ⇒ x = 2 Now, ⇒ x2 – 4 ⇒ 22 – 4 ⇒ 0 ∴ The value of x2 – 4 is 0
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