SOLUTION: Solve the following equation. 1/5 r^(3/2) + 5/2 r^(1/2) =0. Thanks a lot!

Question 1051558: Solve the following equation.
1/5 r^(3/2) + 5/2 r^(1/2) =0. Thanks a lot!
Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
=0
=0
=0
=0
first case s=0 meaning r=0
=0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -200 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -200 is + or - .

The solution is

Here's your graph:

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