Solve second-degree equations using the quadratic formula, completing the square, and factoring techniques.
Try the SolverLearn how to solve quadratic equations using various methods and explore their graphical representations.
The general quadratic equation is: $ ax^2 + bx + c = 0 $
Where $ a $, $ b$, and $c$ are coefficients with $ a ≠ 0 $.
Use the formula to find solutions: $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $
The discriminant $ b^2 - 4ac $ determines the nature of the roots:
Parabbolic shape with vertex at the curve's lowest/highest point.
Break down the equation into binomial factors like: $ (x - p)(x - q) = 0 $
Rearrange the equation into perfect square form: $ (x + d)^2 = e $
Find the vertex and intercepts to plot the characteristic parabola.