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29 July, 05:38

How to tell if a quadratic equation has a real solution?

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  1. 29 July, 06:16
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    If the discriminant (b^2-4ac) is rational, then the quadratic is rational.

    ~ThePirc
  2. 29 July, 08:44
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    The easiest way to determine if a quadratic equation has real solutions is by using the discriminant.

    Start by finding a, b and c. You can find a by looking at the coefficient of x^2. You can find b by looking at the coefficient of x. You can find c by looking at the constant at the end.

    Now use the discriminant formula.

    b^2 - 4ac

    After plugging in and solving, check the number. If it is negative, there are no real solutions. If it is positive there are 2 solutions. If it is 0, there is one real answer and it is a double root.
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