SOLUTION: In physics class, Taras discovers that the behavior of electrical power, x, in a particular circuit can be represented by the function f(x)=x^2+2x+7/ If f(x)=0, solve the equation

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Question 246686: In physics class, Taras discovers that the behavior of electrical power, x, in a particular circuit can be represented by the function f(x)=x^2+2x+7/ If f(x)=0, solve the equation and express your answer in simplest a + bi form.
please help me solve this problem Please show work thank you
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
f(x)=x^2+2x+7/ If f(x)=0, solve the equation and express your answer in simplest a + bi form
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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 -24 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 -24 is + or - .

The solution is , or
Here's your graph:

--------
x = -1 ± i*sqrt(6)
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