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First L
First L asked in Science & MathematicsMathematics · 8 years ago

Algebra questions need help with?

6x^2+x-12=0

I know the answer is x=-3/2, 4/3.

I just need the steps to get there.

4x^2-4x-1=0

I am not sure of the answer but

I think its 1- sqrt of 2 over 2, 1- sqrt of 2 over 2

If thats right how do you get that answer?

What are the steps?

2 Answers

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  • ~ Sazid Asper ~
    Lv 4
    8 years ago
    Favorite Answer

    6x^2 plus x - 12 = 0

    product of -12 and 6x^2 is -72x^2.

    Now, we have to break x in such a way that their product becomes -72x^2.

    Now,factors of 72 = 1,72,2,36,3,24,4,18,6,12,8,9.

    Therefore,we can use 8 and 9.

    It becomes,

    6x^2 plus 9x - 8x - 12 = 0

    or, 3x (2x plus 3) - 4(2x plus 3) = 0

    or, (3x - 4)(2x plus 3) = 0

    Now,one of them must be equal to 0.

    When 3x - 4 = 0,

    3x = 4

    or, x = 4/3

    and when 2x plus 3 = 0

    2x = -3

    or, x = -3/2

  • Steve
    Lv 5
    8 years ago

    There are two ways to solve these problems; factor by grouping or using the quadratic equation.

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