SOLUTION: Find all solutions of the equation x^2+1x+7=0 and express them in the form a+bi

Question 843273: Find all solutions of the equation x^2+1x+7=0 and express them in the form a+bi
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=1, and c=7

Square 1 to get 1

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

After simplifying, the quadratic has roots of

or

note: those solutions are of the form . In the first case, ,
In the second case, ,
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