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chicagochica5 Group Title

What method(s) would you choose to solve the equation? Explain your reasoning. 2x^2 +4x - 3 = 0

  • 2 years ago
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  1. sabika13 Group Title
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    quadratic formula and factoring

    • 2 years ago
  2. calculusfunctions Group Title
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    Factoring over integers is not possible, thus solving by the quadratic formula would be the most efficient method. You could also solve by the method of completing the square.

    • 2 years ago
  3. satellite73 Group Title
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    i would complete the square because after \[2x^2+4x=3\] and \[x^2+2x=\frac{3}{2}\] the coefficient of the middle term is even so you can go right to \[(x+1)^2=\frac{3}{2}+1=\frac{5}{2}\]

    • 2 years ago
  4. chicagochica5 Group Title
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    Which is a better way the quadratic formula or the square and why

    • 2 years ago
  5. dylanhouse Group Title
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    Depends which you prefer. Quadratic is easier to some. Completing the square just requires you be a little more tedious :)

    • 2 years ago
  6. chicagochica5 Group Title
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    @dylanhouse, i do not think i need to solve.I think i just need to say which formala would i use and why

    • 2 years ago
  7. dylanhouse Group Title
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    Well, you would use the quadratic formula \[x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\] simply because it is a quadratic equation!

    • 2 years ago
  8. dylanhouse Group Title
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    It has the \[x^2\] term.

    • 2 years ago
  9. CliffSedge Group Title
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    The quadratic formula is the result of completing the square. They are equivalent. You choose one over the other depending on the coefficients of the terms. Some numbers are easy to play with algebraically (small integers, etc.), others (big, clunky decimals) would probably be easier to just plug-and-chug in a formula.

    • 2 years ago
  10. CliffSedge Group Title
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    I'm with satellite on this one. I'd complete the square. The numbers are small and friendly, and it only takes a couple steps to move things around.

    • 2 years ago
  11. chicagochica5 Group Title
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    @CliffSedge,(my answer) My method to solve the equation would be completing the sqaure... and I can just put my reasoning because the numbers are small and it only takes a couple steps??

    • 2 years ago
  12. chicagochica5 Group Title
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    @satellite73

    • 2 years ago
  13. CliffSedge Group Title
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    Sounds good to me, though you should probably also include that you chose that because it is not factorable.

    • 2 years ago
  14. CliffSedge Group Title
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    Though sometimes I have a quadratic equation that is factorable, and I use the quadratic formula anyway because I'm feeling lazy. "Feeling lazy" is a perfectly acceptable reason sometimes - as long as you still get the right answer with whatever method you choose.

    • 2 years ago
  15. chicagochica5 Group Title
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    theequation is not factorable @CliffSedge ?

    • 2 years ago
  16. CliffSedge Group Title
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    Like calculusfunctions said, not with integers.

    • 2 years ago
  17. CliffSedge Group Title
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    To see, take the leading coefficient, 2, and the constant, -3 from 2x^2 +4x - 3 and multiply them and get -6 There are no factors of -6 that add to make 4.

    • 2 years ago
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