SOLUTION: whats the answer for x^2+4x+10=3

Question 761441: whats the answer for x^2+4x+10=3
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
Set the equation to 0 by subtracting 3 from both sides

Simplify

You can now use the quadratic equation.

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 -12 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 -12 is + or - .

The solution is

Here's your graph:

Since the discriminant is less than 0, there are no solutions without using imaginary numbers. This is why the graph never touches the X-axis.
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