Class 10 Math All topics Quadratic Equations

Which of the following is not a quadratic equation :

(a)

$(x−2)_{2}+1=2x−3$

(b)

$x(x+1)+8=(x+2)(x−2)$

(c)

$x(2x+3)=x_{2}+1$

(d)

$(x+2)_{3}=x_{3}−4$

Correct answer: (b)

Solution:

$x(x+1)+8=(x+2)(x−2)$

$∴x_{2}+x+8=x_{2}−4$

$∴x+12=0$

The highest power of $x$ in this equation is $1$.

So, this is not a quadratic equation.

The answer is option (B)

(Note that, in option $D$,

$(x+2)_{3}=(x_{3}−4)$ also reduces to quadratic, since the $x_{3}$ terms cancel out.)

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