Examine whether the following equation is qua | vedclass

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Question

(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,specifically $2$.Given equation: $3x^{2} + 5sqrt{x} + 3 = 0$.We can rewrite the term $\sqrt{x}$ as $x^{\frac{1}{2}}$.So,the equation becomes $3x^{2} + 5x^{\frac{1}{2}} + 3 = 0$.In this equation,the exponent of $x$ in the second term is $\frac{1}{2}$,which is not a whole number (integer).Since the definition of a quadratic equation requires the exponents of the variable to be non-negative integers,this equation does not satisfy the condition.Therefore,$3x^{2} + 5\sqrt{x} + 3 = 0$ is not a quadratic equation.

Examine whether the following equation is quadratic or not: $3x^{2} + 5sqrt{x} + 3 = 0$.

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