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(B) quadratic equation in the variable $x$ is an equation of the form $ax^{2} + bx + c = 0$,where $a, b, c$ are real numbers and $a 
eq 0$. The expon

Vedclass · Accepted Answer

No,it is not a quadratic equation.

Vedclass · Answer

(B) quadratic equation in the variable $x$ is an equation of the form $ax^{2} + bx + c = 0$,where $a, b, c$ are real numbers and $a 
eq 0$. The exponent of the variable $x$ must be a non-negative integer.Given equation: $x^{2} + 2\sqrt{x} + 3 = 0$.We can rewrite the term $\sqrt{x}$ as $x^{\frac{1}{2}}$.So,the equation becomes $x^{2} + 2x^{\frac{1}{2}} + 3 = 0$.In this equation,the exponent of $x$ in the second term is $\frac{1}{2}$,which is not a whole number (non-negative integer).Since the variable $x$ does not have a power of $2$ as its highest degree with integer exponents,the given equation is not a polynomial,and therefore,it is not a quadratic equation.

Examine whether the following equation is quadratic or not: $x^{2}+2 \sqrt{x}+3=0$

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