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3 June, 12:24

Find the term that must be added to the equation x2 + 10x = 5 to make it into a perfect square.

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Answers (2)
  1. 3 June, 12:30
    0
    25

    Step-by-step explanation:

    x2 + 10x = 5

    Take the coefficient of the x term

    10

    Divide it by 2

    10/2 = 5

    Square it

    5^2=25

    Add this to both sides
  2. 3 June, 12:54
    0
    We always complete the square of a monic quadratic (coefficient on x² is one) by adding half the linear coefficient squared. Here that's half of 10, so 5, squared, so 25.

    Answer: 25

    x² + 10x = 5

    x² + 10x + 25 = 5 + 25

    (x + 5) ² = 30

    x + 5 = ±√30

    x = - 5 ±√30
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