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21 May, 07:02

One of the roots of the equation x^2-bx+c=0 is equal to 5. Find c in terms of b.

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Answers (2)
  1. 21 May, 07:26
    0
    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)
  2. 21 May, 10:53
    0
    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)
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