What equation results from completing the squre and then factoring x^2+10=15

Question

What equation results from completing the squre and then factoring x^2+10=15

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Jade 1 week 2021-11-25T07:47:38+00:00 1 Answer 0

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    2021-11-25T07:49:31+00:00

    For this case we must complete squares:

    x ^ 2 + 10x = 15

    We add the square of half the coefficient of the term “x”,

    (\frac {b} {2a}) ^ 2 on both sides of the equation:

    x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

    According to the perfect square trinomial we have:

    (a + b) ^ 2 = a ^2 + 2ab + b ^ 2

    Rewriting the expression we have:

    a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

    ANswer:

    (x + 5) ^ 2 = 40

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27:3+15-4x7+3-1=? ( )