For a quadratic equation in the form: ax² + bx + c = 0
The quadratic formula comes from completing the square of the quadratic equation that gives you a result of x=-b±√b²-4ac divided by 2a.
Using a simple quadratic equation like x² + 2x + 1 = 0
a=1; b=2; c=1
x=-2±√2²-4(1)(1) divided by 2a
x=-2±√4-4 divided by 2a (4 - 4 = 0 and the square root of 0 is 0)
Therefore, x=-2
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As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
Use the quadratic formula, with a = 1, b = -10, c = 29.Use the quadratic formula, with a = 1, b = -10, c = 29.Use the quadratic formula, with a = 1, b = -10, c = 29.Use the quadratic formula, with a = 1, b = -10, c = 29.
To find the roots (solutions) of a quadratic equation.
Well, if the given quadratic equation cannot be factored, nor completed by the square, try using the quadratic formula.
quadratic formula