Question

1. **What does a discriminant of 5, 0 and -10 tell us about a quadratic equation?

Answer 1

discriminant of quadratic equation is given as,

`\begin{gathered} D=\sqrt[]{b^2-4ac} \\ \text{ if D}>0,\text{ roots are real and distinct} \\ \text{ if D}=0,\text{ roots are real and equal.} \\ \text{ if D}<0,\text{ roots are imaginary.} \end{gathered}`

So,

`\begin{gathered} \text{ if D=5, roots are real and distinct} \\ \text{ if D=0 roots are real and equal} \\ \text{ if D=-10, roots are imaginary} \end{gathered}`