1.

The given equation are quadratic equation?(x + \(\frac{1}{x}\))2 = 3(x + \(\frac{1}{x}\)) + 4

Answer»

Given,

(x + \(\frac{1}{x}\))2 = 3(x + \(\frac{1}{x}\)) + 4

⇒ x2 + \(\frac{1}{x}\)2 + 2 = 3x + \(\frac{3}{x}\) + 4

⇒ x4 + 1 + 2x2 = 3x3 + 3x + 4x2

⇒ x4 – 3x3 – 2x2 – 3x + 1 = 0

Now, it’s clearly seen that x4 – 3x3 – 2x2 – 3x + 1 is not a quadratic polynomial since its degree is 4. Thus, the given equation is not a quadratic equation.



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