Question

Find which of the following equations are quadratic:

$\left(E\right)$ $7x^3-2x^2+10=(2x-5{)}^2$

Answer 1

Step: Finding whether the given equation is quadratic or not:

The standard form of a quadratic equation is $a{x}^2+bx+c=0$, where a,b and c are all real numbers and $a\ne 0$.

$7x^3-2x^2+10=(2x-5{)}^2$

$\Rightarrow 7x^3-2x^2+10=4x^2+25-20x$

$\Rightarrow 7x^3-6x^2+20x-15=0;$

The given equation is not of the form $a{x}^2+bx+c=0$

$\therefore$ Given equaion is not a quadratic equation.