Question

One of the roots of the equation x²-5x +q=0 is 2. Find the other root and the value of the coefficient q.

Answer 1

Answer:

Other root: $x=3$

$q=6$

Step-by-step explanation:

If $x=2$, then $x-2=0$.

Therefore:

$x^2-5x+q=0$

$2^2-5(2)+q=0$

$4-10+q=0$

$-6+q=0$

$q=6$

This means that the other root is $x=3$ since $(x-2)(x-3)=x^2-5x+6$