Answer
For the quadratic equation $ax^2+bx+c=0$ the discriminant is $\color{red}{D=\sqrt{b^2-4ac}}$. The discriminant tells us how many real solutions a quadratic has.
If $D>0$, the equation has $\color{red}{\text{two}}$ real solution(s),
If $D=0$, the equation has $\color{red}{\text{one}}$ real solution(s),
If $D<0$, the equation has $\color{red}{\text{no}}$ real solution(s),
Work Step by Step
For the quadratic equation $ax^2+bx+c=0$ the discriminant is $\color{red}{D=\sqrt{b^2-4ac}}$. The discriminant tells us how many real solutions a quadratic has.
If $D>0$, the equation has $\color{red}{\text{two}}$ real solution(s),
If $D=0$, the equation has $\color{red}{\text{one}}$ real solution(s),
If $D<0$, the equation has $\color{red}{\text{no}}$ real solution(s),
