X^2+12=40 what number must you add to complete the square?

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X^2+12=40 what number must you add to complete the square?

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Eirian 3 weeks 2021-08-31T14:03:50+00:00 1 Answers 0 views 0

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    2021-08-31T14:05:30+00:00

    Answer:

    Step-by-step explanation:

    1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.

    2) If you meant X^2+12x=40:

    a) Take half of the coefficient of x:  that would be (1/2)(12), or 6.  

    b) Square this result, obtaining:  6² = 36

    c) Add this 36 to x^2 + 12x + 40, and then subtract it:  We get:  

    x² + 12x + 36 – 36 = 40, or x² + 12x + 36 = 76

    We have to add 36, as indicated above, to “complete the square.”

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