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There are different methods of using quadratic functions depending on the equation.
The roots of the quadratic equation are the x-intercepts of the curve.
By using the quadratic equation formula
By using the quadratic equation formula or by completing the square
How you solve an equation that doesn't factor is to plug a quadratic equation's format; ax2+bx+c into the quadratic formula which is x=-b+square root to (b2-4ac)/2a.