You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true.
In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
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The roots of the quadratic equation are the x-intercepts of the curve.
By using the quadratic equation formula
It is finding the values of the variable that make the quadratic equation true.
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.
There are different methods of using quadratic functions depending on the equation.