Question

Find which of the following equations are quadratic:

$\left(B\right)5x^2-8x=-3(7-2x)$

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 $a\ne 0$.

Given equation is:
$5x^2-8x=-3(7-2x)$

$\Rightarrow 5x^2-8x=-21+6x$

$\Rightarrow$$5x^2-8x-6x+21=0$

$\Rightarrow$$5x^2-14x+21=0;$

The given equation is of the form $a{x}^2+bx+c=0$,

$\therefore$ Given equation is a quadratic equation.