Question

Check whether the following is a quadratic equation.

$(x-2)(x+1)=(x-1)(x+3)$

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient

Answer 1

Answer: (B)

No

Given, $(x-2)(x+1)=(x-1)(x+3)$
$\Rightarrow x(x+1)-2(x+1)=x(x+3)-1(x+3)$
$\Rightarrow x^2+x-2x-2=x^2+3x-x-3$
$\Rightarrow 2x-2x-2-3x+3=0$
$\Rightarrow -3x+1=0$
$\Rightarrow -3x=-1$
Hence, $x=\frac{1}{3}$

A quadratic equation is of the form $a{x}^2+bx+c=0$
Thus the above equation is not a quadratic equation.