SOLUTION: im looking for the explanations of this problem 3x^2+12x+31=0

Question 465492: im looking for the explanations of this problem
3x^2+12x+31=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

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 -228 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 -228 is + or - .

The solution is , or
Here's your graph:

RELATED QUESTIONS
Hi, found another Matri problem Im struggling with. This time I have to write the... (answered by arallie)

i am looking for the solution and explanation of this problem x^2-9x+20=0 thank... (answered by sofiyac)

Hello i am looking at a composition of functions problem i can't seem to figure out the... (answered by Fombitz)

using the discriminant, how many times does the graph of this equation cross the x-axis? (answered by Fombitz)

If p > 0, which of the following is equal to √48p3 A. 4p√3p B.... (answered by brucewill)

Find the product of the solutions of this equation. 3x^2 - 12x + 7 =... (answered by ReadingBoosters)

Hi there, Im looking to find the sum of the first four terms of this sequence... (answered by macston)

Hello im am really struggling with this question,can you please help me,im desperate and... (answered by galactus)

An angle is 20 degrees more than four time its complement, how do I figure this out? I... (answered by mananth)