Question

Find which of the following equations are quadratic:

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

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 $a\ne 0$.

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

$\Rightarrow x^2+5x-5=x^2+9-6x$

{$\because (a-b{)}^2=a^2+b^2-2ab$}

$\Rightarrow 11x-14=0$;

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

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