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20 February, 07:40

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. x^2+3=-4x

a. 1,3

b. - 1, - 3

c. 1, - 3

+4
Answers (2)
  1. 20 February, 08:29
    0
    Add 4x to both sides

    x^2+4x+3=0

    we don't need quadratic formula, just factor

    what 2 numbers multiply to get 3 and add to get 4

    3 and 1

    (x+3) (x+1) = 0

    set to zero

    x+3=0

    x=-3

    x+1=0

    x=-1

    x=-11,-3

    B is answer
  2. 20 February, 10:02
    0
    The general form of the quadratic equation is,

    ax² + bx + c = 0

    The general form of the equation given above is,

    x² + 4x + 3 = 0

    Using quadratic formula for solving the values of x,

    x = ((-b) + / - sqrt (b² - 4ac)) / 2a

    Substituting,

    x = ((-4) + sqrt (4² - 4 (1) (3)) / 2 (1) = - 1

    x = ((-4) - sqrt (4² - 4 (1) (3)) / 2 (1) = - 3

    Thus, the values of x are - 1 and - 3. The answer is letter B.
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