# If one root of the equation

Question:

If one root of the equation x2 + px + 12 = 0 is 4, then the sum of the roots is ____________.

Solution:

One root of $x^{2}+p x+12=0$ is 4

Let us suppose the other solution is $z$.

$\therefore$ Sum of roots $=\frac{-p}{1}=-p$

i. e. $z+4=-p$

and product of roots is 12

i. e. $4 z=12$

i. e. $z=3$

$\Rightarrow$ sum of roots is $4+3=7$