SOLUTION: If m-p=3 and mp=-1 the what is the value of (m+p)^2?

Question 993866: If m-p=3 and mp=-1 the what is the value of (m+p)^2?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If m-p=3 and mp=-1 the what is the value of (m+p)^2?
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m-p = 3 --> m = p+3
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m*p = -1
(p+3)*p = -1

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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 : .

Discriminant d=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.381966011250105, -2.61803398874989. Here's your graph:

---------
p = -0.381966011250105
m = 2.618034
--> (m+p)^2 = 5
----------------
p = -2.61803398874989
Same.
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