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Lv 4
? asked in Science & MathematicsMathematics · 10 years ago

which formula would i use to solve this equation?

4x^2+28x+48= 0

5 Answers

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  • 10 years ago
    Favorite Answer

    First divide through by the common factor of 4:

    x^2 + 7x + 12 = 0

    You can factorise this easily (two numbers that add up to 7 and multiply to 12: 3 and 4)

    ∴ (x + 3) (x + 4) = 0

    ∴ x = -3 or x = -4.

  • 10 years ago

    The quadratic one

    or factorise

    4x^2 + 28x + 48 = 4(x^2 + 7x + 12) = 4(x+3)(x+4) = 0

    ==> x = -3 or x = -4

  • 10 years ago

    I would factor the polynomial. First factor out a 4, giving

    x^2+7x+12 = 0 which factors to (x+4)(x+3) = 0

    So the question is, what values of x make that equation true? The answers are

    x=-4 and x=-3

    If you can factor, the binomial formula is overkill.

  • Anonymous
    10 years ago

    Well I guess you're a Tigers supporter. I'll help you because MANLY are in the grand final and I'm feeling generous.

    No formula needed:

    Divide by 4:

    x^2 + 7x + 12 = 0

    Factorise:

    (x+4)(x+3) = 0

    x+4=0 or x+3 = 0

    x = -4 or -3

    GO SEA EAGLES

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  • Anonymous
    10 years ago

    if

    ax^2 + bx + c = 0

    then

    x = [ -b ± (b^2 - 4ac)^1/2 ] / 2a

    sosmath.com/algebra/quadraticeq/quadraformula/quadraformula.html

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