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Quadratic Equations — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsQuadratic Equations3 Marks
Question
The following are quadratic equations in $x?$
$\text{x}^2-\frac{1}{\text{x}^2}=5$
✓

Answer

$\text{x}^2-\frac{1}{\text{x}^2}=5$
$ \Rightarrow x^4-1=5 x^2 $
$\Rightarrow x^4-5 x^2-1=0$
$\text { And }\left(x^4-5 x^2-1\right) \text { Being a polynomial of degree } 4$
$\therefore\ \text{x}^2-\frac{1}{\text{x}^2}=5$ is not a quadratic equation.

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