What number should be added to both sides of the equation to complete the square? x2 – 6x = 5

Question

What number should be added to both sides of the equation to complete the square?
x2 – 6x = 5

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Kiệt Gia 5 years 2021-08-31T12:21:48+00:00 1 Answers 37 views 0

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  1. minhkhang
    0
    2021-08-31T12:22:59+00:00
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    Answer:

    Ans: 9

    pls mark as brainliest!!

    Step-by-step explanation:

    Completing the square is done as follows:

    1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.  

    x^2 – 6x = 5

    2. Make sure that the coefficient of the x^2 term is 1.

    x^2 – 6x = 5

    3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

    x^2 – 6x + 9 = 5 + 9

    (x-3)^2 = 14

    Therefore, 9 should be added to both sides to complete the square.

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