SOLUTION: Please help me solve this equations: (x-10)(x-2)=-20

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Question 43563: Please help me solve this equations:
(x-10)(x-2)=-20

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
(x-10)(x-2) = -20
x^2 - 10x - 2x + 20 = -20
x^2 - 12x + 40 = 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 -16 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 -16 is + or - .

The solution is

Here's your graph:

No real solutions, but there are two complex solutions.

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