SOLUTION: Solve the following quadratic equation by the quadratic formula. Simplify the solutions and write them in a + bi form. Answers in comma-separated list. X square + 2x + 5 =0

Algebra.Com
Question 988542: Solve the following quadratic equation by the quadratic formula. Simplify the solutions and write them in a + bi form. Answers in comma-separated list.
X square + 2x + 5 =0

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.

.
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 -16 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 -16 is + or - .

The solution is

Here's your graph:

ANSWER: -1+2i, -1-2i

RELATED QUESTIONS

Use the quadratic formula to solve the equation. Simplify the solutions and write them in (answered by rfer)
I'm so confused on this problem.... Please help!! Solve the following quadratic... (answered by stanbon)
Hi! I'm having some difficulty with the following problem using the quadratic formula... (answered by Earlsdon)
Hi! I'm having some difficulty with the following problem using the quadratic formula... (answered by Alan3354)
Hello! I'm having trouble getting the correct answer for this problem with the... (answered by ankor@dixie-net.com)
Hello! I'm having trouble getting the correct answer for this problem with the quadratic (answered by jim_thompson5910)
Solve the quadratic equation by using the definition of square root and write the... (answered by nerdybill)
Hello, we are working on complex numbers, and I am stuck on this problem. I'm not sure... (answered by Alan3354)
Write the number in the form a + bi. (square root of 4) + 10 Solve the quadratic... (answered by stanbon)