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

Determine the number of real solutions to each quadratic equation Homework question-example-1
User Aert
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1 Answer

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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.

User Giedre
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