SOLUTION: Hi, I need a full calculation on this: a+b+15=36 ^ A^2+b^2=15 I know the answer but I have no idea how to put this in calculation, please me :)

Question 975930: Hi, I need a full calculation on this:
a+b+15=36 ^ A^2+b^2=15
I know the answer but I have no idea how to put this in calculation, please me :)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If you mean:
a+b+15=36
a^2+b^2=15
------------
a + b = 21 --> b = 21-a
a^2 + b^2 = 21
Sub for b

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 : .

The discriminant -1596 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 -1596 is + or - .

The solution is , or
Here's your graph:

=================

----------------------
b = conjugate of a

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