SOLUTION: solutions for x2 + 10x + 1 = -12 + 2x

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Question 256251: solutions for x2 + 10x + 1 = -12 + 2x
Found 2 solutions by Greenfinch, richwmiller:
Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!
I am assuming the equation is x^2 + 10x +1 = 2x - 12
If it is then x^2 + 8x + 13 = 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 : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2.26794919243112, -5.73205080756888. Here's your graph:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
That simplifies to x^2+8x+13 = 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 -40 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 -40 is + or - .

The solution is

Here's your graph:
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