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# Check whether m=3 is a root of the quadratic equation: ${{m}^{2}}+4m+3=0$.

Last updated date: 26th Mar 2023
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Hint: Here, we may put the value of m = 2 in the given quadratic equation and check whether the value of the quadratic equation is 0 or not. If it becomes 0 then, 2 will be a root of the given quadratic equation.

${{m}^{2}}+4m+3=0.........(1)$
Let us consider a quadratic equation $a{{x}^{2}}+bx+c=0$, where a, b and c are real numbers.
$a{{p}^{2}}+bp+c=0$ that is when we substitute p in place of x in this equation the value of the equation becomes zero.
\begin{align} & {{\left( 2 \right)}^{2}}+4\times 2+3 \\ & =4+8+3 \\ & =15 \\ \end{align}
Hence, m=2 is not a root of the given quadratic equation ${{m}^{2}}+4m+3=0$.