They are the solutions for the reduced quadratic.
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A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
ax3 + bx2 + cx x(ax2 + bx + c) you get one answer as 0.
so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.