The line is in the form of a parabola which means that there will be two x-intercepts. The solutions of a quadratic equation of the form a x 2 b x c 0 are given by the quadratic formula. B 2 4ac -52 416 1.
One can solve quadratic equations through the method of factorising but sometimes we cannot accurately factorise like when the roots are complicated.
As you can see the x-intercepts the red dots above match the solutions crossing the x-axis at x 4 and x 1. As you can see the x-intercepts the red dots above match the solutions crossing the x-axis at x 4 and x 1. Remember that the quadratic formula states. Substitute the values in the quadratic formula.