Which one of the following is not a quadratic | vedclass

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(A) To determine if an equation is quadratic,we simplify it to the standard form $ax^{2}+bx+c=0$,where $a 
eq 0$.Check option $(A)$: $(x+2)(x-1) = x^

Vedclass · Accepted Answer

$(x+2)(x-1)=x^{2}-2x-3$

Vedclass · Answer

(A) To determine if an equation is quadratic,we simplify it to the standard form $ax^{2}+bx+c=0$,where $a 
eq 0$.Check option $(A)$: $(x+2)(x-1) = x^{2}-x+2x-2 = x^{2}+x-2$. Given equation: $x^{2}+x-2 = x^{2}-2x-3$. Simplifying,$3x+1=0$. This is a linear equation,not a quadratic equation.Check option $(B)$: $(x+2)^{2} = 2(x+3) \implies x^{2}+4x+4 = 2x+6 \implies x^{2}+2x-2=0$. This is a quadratic equation.Check option $(C)$: $x^{2}+3x = (-1)(1-3x)^{2} \implies x^{2}+3x = -(1-6x+9x^{2}) \implies x^{2}+3x = -1+6x-9x^{2} \implies 10x^{2}-3x+1=0$. This is a quadratic equation.Check option $(D)$: $x^{3}-x^{2}+2x+1 = (x+1)^{3} \implies x^{3}-x^{2}+2x+1 = x^{3}+3x^{2}+3x+1 \implies -x^{2}+2x = 3x^{2}+3x \implies 4x^{2}+x=0$. This is a quadratic equation.Therefore,the equation in option $(A)$ is not a quadratic equation.

Which one of the following is not a quadratic equation?

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