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Determine the number of real solutions to each quadratic equation Homework question. Not a test or exam

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

2 votes

Given

Quadratic Equation


r^2+18r+81=0

Find

Number of real solutions

Step-by-step explanation

The value of discriminant tells us the nature of solutions of a given equation.

if D>0 , then the equation has two distinct real roots.

if D=0, then the equation has two equal real roots.

if D<0, then the equation has two conjugated complex roots.

so,


r^2+18r+81=0

discriminant =


\begin{gathered} D=b^2-4ac \\ D=(18)^2-4*1*81 \\ D=324-324 \\ D=0 \end{gathered}

here D =0 , then it has two equal real solution.

Final Answer

Hence , it has two equal real solutions

User FLOZz
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