Describe how the discriminant can help you determine the type of solutions you are going to have
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Question

unklerhaukus · Answer

A Quadratic Equation$$ax^2+bx+c=0$$
The Quadratic Formula$$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

The Discriminant is    $\Delta =b^2-4ac$ 

if  $\Delta=0$  there is only one solution to the quadratic equation
if  $\Delta>0$  there are two solutions
if  $\Delta <0$ the solutions are complex

unklerhaukus · Answer

because the square root of zero is zero,
there are two square roots of a positive number,
and the two complex square roots to a negative number