Question

Determine the number of real solutions to each quadratic equation Homework question. Question 1

Answer 1

The quadratic equation given is,

`r^2+18r+81=0`

Using discriminant(d) formula to obtain the number of real solution

The formula is,

`d=b^2-4ac`

Given:

`a=1,b=18,c=81`

Therefore,

`\begin{gathered} d=18^2-4(1)(81)=324-324=0 \\ \therefore d=0 \end{gathered}`

Since,

`\begin{gathered} d=0 \\ \therefore It\text{ has one real solution, but equal root.} \end{gathered}`

Hence, it has one real solution.