Question

Ceeck whether (2x-3)(x-1)=2x(x+7) is a quadratic equation

Answer 1

(2x-3)(x-1) = 2x(x+7)

On expanding, we will get

$\sf\implies 2x(x) +2x(-1)-3(x) -3(-1) = 2x(x) + 2x(7)$

$\sf\implies 2x^2 -2x -3x +3 = 2x^2 + 14x$

Common terms present in both the sides of the equation will get cancelled. Here, 2x² on both sides of the equation will get cancelled.

$\sf\implies -2x -3x +3 = 14x$

$\sf\implies -5x +3 = 14x$

Now there's no need to simplify it further as we know that the highest power of a variable must be 2 which is not present in the equation.

Therefore, it's not a quadratic equation.

Quadratic equation should have atleast one variable whose power is 2.

For example : x² = 0

ax²+bx+c=0

etc.