SOLUTION: Can someone help clear up something for me? Are complex numbers the same as complex solutions? I've been trying solve the problem using quardratic formula, but I don't come anywhe

Algebra.Com
Question 447580: Can someone help clear up something for me?
Are complex numbers the same as complex solutions? I've been trying solve the problem using quardratic formula, but I don't come anywhere close.
x^2+37=0
Thanks

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A number is just a number, whether it's real or complex.
Any number can be a solution to some equation.


--------------
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 -148 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 -148 is + or - .

The solution is , or
Here's your graph:


RELATED QUESTIONS

Express the complex number in trigonometric form. -2 PLEASE SOMEONE HELP ME, I... (answered by Alan3354)
Can you please help me with this? How many solutions exist for a quadratic equation and... (answered by stanbon)
I need help identifying numbers and why they are as such, such as: Identify the number 6 (answered by josgarithmetic,stanbon)
sqrt2x+x=4 a. x=2 or x =8 b. the two solutions are complex numbers c. x=4 or x=-4 d.... (answered by ewatrrr)
You can determine by the discriminant whether the solutions to the equation are _____ or... (answered by drk)
Solve 3x^2-7x-13=0 What are the solutions? X=___(Type exact solutions using radicals as (answered by jorel1380)
I am trying to find a way to graphically prove dividing two complex numbers. When I add... (answered by richard1234)
Can someone please help with the following? Use the quadratic formula to solve the... (answered by jim_thompson5910)
Someone, please show me how to find the discriminant to determine the number of solutions (answered by Alan3354)