-b +/- root b2 - 4ac / 2a
(a = 3, b = -7, c = -3)
7 +/- root -72 - 4 x 3 x -3 / 2 x 3
7 +/- root 49 + 36 / 6
7 +/- root 85 / 6
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All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
Using the quadratic equation formula: x = 8.42 or x = -1.42
The quadratic formula can be derived by used a method called completing the square. It's like using algebra to solve for x. The process is explained the related link "Derivation of Quadratic Formula".
You convert the equation to the form: ax2 + bx + c = 0, replace the numeric values (a, b, c) in the quadratic formula, and calculate.