Question

one of the solutions to ( x^2 - 2x - 15 = 0 ) is ( x = -3 ). what is the other solution?
( circ x = -5 )
( circ x = -1 )
( circ x = 1 )
( circ x = 5 )

Explanation:

Step1: Recall sum of roots formula

For quadratic $ax^2+bx+c=0$, sum is $-\frac{b}{a}$

Step2: Identify coefficients

$a=1$, $b=-2$, known root $x_1=-3$

Step3: Calculate unknown root $x_2$

$x_1+x_2 = -\frac{-2}{1}=2$
$x_2=2 - (-3)=5$

Answer:

$\boldsymbol{x=5}$ (Option: $\boldsymbol{O\ x=5}$)