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Quadratic equations - does anyone have an easy method?

Does anyone have an easy method for solving a quadratic equation where x^2 has a co-efficient higher than 1? For example 5x^2 + 9x - 2 = 0

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  • 1 decade ago
    Favorite Answer

    Plug it into the quadratic formula.

    Basically, get it into "ax^2 + bx + c = 0" form first, as you've already done in your equation.

    Then plug it into the quadratic formula:

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

    You'll have two answers (one for + -b, one for - -b), which will be your solution set. For ex, if you got 7 and 2, then you would say x={7,2}. However, before you do anything, plug your numbers into this section of the equation first: sqrt(b^2 - 4ac). If that number is the sqrt of a negative number, then the formula cannot be applied.

  • 1 decade ago

    I don't know that I have an "easy" method... but here are a couple of links that might help. The first is a lesson on solving quadratic formulas that is VERY good and very clear.

    The second is a tool for solving them that explains the work in solving that particular problem. I used it for yours and came up with:

    http://www.webmath.com/cgi-bin/quadform.cgi?a=5&b=...

    Hope this helps :)

    Source(s): PurpleMath http://www.purplemath.com/modules/index.htm WebMath (calculators of different kinds, they explain the steps as well) http://webmath.com/
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