Need help with quadratic equation.

Can anyone show me how to solve this using the quadratic equation?

e^3=x^2 + 6x + 8

It says in the solution you must group e^3 with 8. Therefore making the problem...

x^2 + 6x -(e^3-8)=0

I'm just stuck on how you put this into the quadratic equation.

Re: Need help with quadratic equation.

Notice is also a constant so rewrite the equation as:

Now use the quadratic formula.

EDIT:

I notice you have modified your post.

Calculate

Afterwards you just have to substitute the discriminant into:

Where and are the two solutions of the equation.

Re: Need help with quadratic equation.

Can you possibly show the work to solve for x? The answer key says....

x= -3 + sqrt(1+e^3)

When I work out the problem, I get....

x= -3 + sqrt(4e^3)

What am I doing incorrectly?

Re: Need help with quadratic equation.

If you calculate the discriminant you get:

So the solutions are:

Re: Need help with quadratic equation.

Quote:

Originally Posted by

**bseymore** Can anyone show me how to solve this using the quadratic equation?

e^3=x^2 + 6x + 8

It says in the solution you must group e^3 with 8. Therefore making the problem...

x^2 + 6x -(e^3-8)=0

I'm just stuck on how you put this into the quadratic equation.