Answer:
q = 15
Step-by-step explanation:
The sum of the roots is the opposite of the x-coefficient, so the other root is ...
r - 1 = -16
r = -15 . . . . . the other root of the equation
The product of the roots is q, so ...
q = (-1)(-15) = 15
Answer:
The value of q is 15.
Step-by-step explanation:
Given equation,
[tex]x^2 + 16x + q =0[/tex]
We know that roots of an equation satisfies the equation,
i.e. if x = -1 is one of the roots of the equation,
Then,
[tex](-1)^2 + 16(-1) + q =0[/tex]
[tex]1 - 16 + q=0[/tex]
[tex]-15 + q=0[/tex]
[tex]\implies q = 15[/tex]
Hence, the value of q is 15.
