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28 February, 13:27

The difference of the square of a number and 8 is equal to 7 times that number. Find the positive solution.

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  1. 28 February, 13:45
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    Correct answer: x₁ = 8

    Step-by-step explanation:

    Given equation is:

    x² - 8 = 7x ⇒ x² - 7x - 8 = 0 ⇒ x² - 8x + x - 8 = 0 ⇒ x · (x - 8) + (x - 8) = 0

    (x - 8) · (x + 1) = 0 ⇒ x₁ = 8 or x₂ = - 1

    we accept a positive solution

    x₁ = 8

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