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19 May, 18:12

For what values of x is x2-36=5x true?

0 - 9 and 4

04 and 9

4 and - 9

09 and 4

+1
Answers (1)
  1. 19 May, 18:39
    0
    x = - 4 and x = 9

    Step-by-step explanation:

    Given

    x² - 36 = 5x (subtract 5x from both sides)

    x² - 5x - 36 = 0

    Consider the factors of the constant term ( - 36) which sum to give the coefficient of the x - term ( - 5)

    The factors are - 9 and + 4, since

    - 9 * 4 = - 36 and - 9 + 4 = - 5, thus

    (x - 9) (x + 4) = 0

    Equate each factor to zero and solve for x

    x - 9 = 0 ⇒ x = 9

    x + 4 = 0 ⇒ x = - 4
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