SOLUTION: X2 + 6X + 15 = 0 Show how this equation has no solution?

Question 452304: X2 + 6X + 15 = 0
Show how this equation has no solution?
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 -24 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 -24 is + or - .

The solution is , or
Here's your graph:

---------------
It has two solutions, but no real numbers solutions.

RELATED QUESTIONS
1) Use a variety of ways to show that x^2-2x-15=0 has two solutions. 2) Explain how... (answered by josgarithmetic)

Solve the equation. (Enter your answers as a comma-separated list. If there is no real... (answered by ewatrrr)

Solve the equation. (Enter your answers as a comma-separated list. If there is no real... (answered by Fombitz)

x2-3x+2=0 Tell if the equation has two solutions,one solution, or no real solution.... (answered by mananth)

How do you find if an equation has 2 real number solutions, 1 real solution or no... (answered by jim_thompson5910)

determine whether the equation has 2 solutions, 1 solution, or no solution. SHOW WORK!... (answered by jim_thompson5910)

What happens when the quadratic equation is no solution? For example, x2+6x+10=0 A=1... (answered by MathLover1,richard1234)

please help me with this problem which quadratic has roots 3 + i and 3 i? 1. x2 6x (answered by jim_thompson5910)

what is this equation written in vertex x2 + 6x - 2(Be sure to write your response in the (answered by fractalier)