SOLUTION: I'm not sure if I am solving this question on systems of equations right. the answer needs to be in simplest a+bi form: {{{y=2x^2-6x+7}}} y=x-4 my work: {{{x-4=2x^2-6x+7}

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Question 697070: I'm not sure if I am solving this question on systems of equations right. the answer needs to be in simplest a+bi form:

y=x-4
my work:

then I did the quadratic equation: negative B plus or minus divided by 2a
a=2
b=-7
c=11
4ac=22
7 plus or minus divided by 4= 7 plus or minus divided by 4.
Then you break down to and and get 3 .
My final answer was (7 plus or minus 3) divided by 4.
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
I'm not sure if I am solving this question on systems of equations right. the answer needs to be in simplest a+bi form:

y=x-4
my work:

then I did the quadratic equation: negative B plus or minus divided by 2a
a=2
b=-7
c=11
4ac=22 ************* 4ac = 88
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You did it right, except for that.
Go from there.
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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 -39 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 -39 is + or - .

The solution is , or
Here's your graph: