SOLUTION: One solution to a quadratic equation is 4 - 5i. Find the equation. A) x2 - 18x - 65 B) x2 - 8x + 41 C) x2 + 41 Eliminate D) Not possible, you need 2 solutions to w

Question 951660:
One solution to a quadratic equation is 4 - 5i. Find the equation.
A)
x2 - 18x - 65
B)
x2 - 8x + 41
C)
x2 + 41
Eliminate
D)
Not possible, you need 2 solutions to write the equation

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Equation B:
x2 - 8x + 41

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 -100 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 -100 is + or - .

The solution is

Here's your graph:

The solutionor
The answer is equation(B).
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