Question

if 2 is one the root of the quadratic equations x^2+bx+12=0 and x^2+bx+q=0 find the value of q​

Answer 1

Answer:

12

Step-by-step explanation:

Simple.

It is already given that 2 is a root, so it should satisfy the given equation x²+bx+12=0, that is, when you substitute x = 2, the equation should become 0.

(2)²+b(2)+12=0

Solving => 2b = -16 or b= -8

So the first equation becomes x²-8x+12=0,

And the second equation becomes x²-8x+q=0.

2 is also a root of the second equation,

so (2)²-8(2)+q=0

ie., q = 12.