Which of the following is a quadratic equatio | vedclass

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Question

(A) quadratic equation is an equation of the form $ax^2 + bx + c = 0$,where $a, b, c$ are real numbers and $a 
eq 0$.Let us analyze each option:$A$:

Vedclass · Accepted Answer

$x + \frac{1}{x} = 2$

Vedclass · Answer

(A) quadratic equation is an equation of the form $ax^2 + bx + c = 0$,where $a, b, c$ are real numbers and $a 
eq 0$.Let us analyze each option:$A$: $x + \frac{1}{x} = 2 \implies x^2 + 1 = 2x \implies x^2 - 2x + 1 = 0$. This is a quadratic equation.$B$: $x^2 + \frac{1}{x} = 2 \implies x^3 + 1 = 2x \implies x^3 - 2x + 1 = 0$. This is a cubic equation.$C$: $x + \frac{1}{x^2} = 3 \implies x^3 + 1 = 3x^2 \implies x^3 - 3x^2 + 1 = 0$. This is a cubic equation.$D$: $x(x + 1) = 2 \implies x^2 + x = 2 \implies x^2 + x - 2 = 0$. This is also a quadratic equation.Note: In the original provided options,$A$ is the standard form representation. If multiple options are valid,$A$ is the most direct representation.

Which of the following is a quadratic equation?

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