Question
Check the equation is quadratic equation or not: $x(2 x+3)=x^2+1$
✓
Answer
Taking, L.H.S. $=x(2 x+3)=2 x^2+3 x$
So, $x(2 x+3)=x^2+1$ can be rewritten as
$2 x^2+3 x=x^2+1$
Therefore, we get $x^2+3 x-1=0$
It is of the form $a^2+b x+c=0$. Also degree is 2 . So, the given equation is a quadratic equation.
So, $x(2 x+3)=x^2+1$ can be rewritten as
$2 x^2+3 x=x^2+1$
Therefore, we get $x^2+3 x-1=0$
It is of the form $a^2+b x+c=0$. Also degree is 2 . So, the given equation is a quadratic equation.
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