If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.
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(k + 1)(k - 5)= 0
In some simple cases, factoring allows you to find solutions to a quadratic equations easily.Factoring works best when the solutions are integers or simple rational numbers. Factoring is useless if the solutions are irrational or complex numbers. With rational numbers which are relatively complicated (large numerators and denominators) factoring may not offer much of an advantage.
Equivalent equations
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
No because there are no equations there to choose from.