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18 April, 23:50

2n^2+12n+10=0 complete the square

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Answers (2)
  1. 19 April, 00:07
    0
    Simplify the equation into a proper form to complete the square.

    2 n^2 + 12n=-10

    Divide each term in the equation by 2.

    n^2 + 6n=-5

    To create a trinomial square on the left-hand side of the equation, find a value that is equal to the square of half of b, the coefficient of n.

    (b/2) ^2 = (3) ^2

    Add the term to each side of the equation.

    n^2 + 6n + (3) ^2 = - 5 + (3) ^2

    Simplify the equation.

    n^2 + 6n+9=4

    Factor the perfect trinomial square into (n+3) ^2.

    (n+3) ^2 = 4

    Solve the equation for n.

    n=-1,-5
  2. 19 April, 00:16
    0
    2n² + 12n + 10 = 0

    n = - 12 + / - √ (12² - 4 (2) (10))

    2 (2)

    n = - 12 + / - √ (144 - 80)

    4

    n = - 12 + / - √64

    4

    n = - 12 + / - 8

    4

    n = - 12 + 8 n = - 12 - 8

    4 4

    n = - 4 n = - 20

    4 4

    n = - 1 n = - 5
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