Answer:
c = 5b - 25
Step-by-step explanation:
If
x² − bx + c = 0
where x = 5
we have
(5)² − b*(5) + c = 0
⇒ 25 - 5b + c = 0
⇒ c = 5b - 25 = 5*(b - 5)
Answer:
c = 5b - 25
Step-by-step explanation:
Since one of the roots is equal to 5, we simply insert 5 in the quadratic equation. This means we replace the value of x with 5. We then proceed to collect like terms, rearrange the equation and make c the subject of formula
(5)^2 -5b + c = 0
25 -5b + c = 0
We then rearrange to make c the subject of formula.
c = 5b - 25
Or c = 5(b - 5)
