Simplifying x²+4x+5?

watchthesky30

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Simplifying x²+4x+5?

Hi. I just want to find out how to simplify x²+4x+5

I tried using the quadratic formula to figure it out, but I don't think it works because it goes to x=-2±?-4
and i do not think you can take the square root of a negative number. so should I complete the square or just leave it like that?
Thanks :oops:
 
Re: Simplifying x²+4x+5?

watchthesky30 said:
Hi. I just want to find out how to simplify x²+4x+5

I tried using the quadratic formula to figure it out, but I don't think it works because it goes to x=-2±?-4
and i do not think you can take the square root of a negative number. so should I complete the square or just leave it like that?
Thanks :oops:

x²+4x+5 is not factorizable in real domain - however that is not simplifying.
 
Re: Simplifying x²+4x+5?

watchthesky30 said:
Hi. I just want to find out how to simplify x²+4x+5
I tried using the quadratic formula to figure it out, but I don't think it works because it goes to x=-2±?-4
That should be x = [-4 +- sqrt(-4)] / 2
Can be simplified further (-4 = -1 * 4):
x = -2 +- sqrt(-1)
 
watchthesky30 said:
Hi. I just want to find out how to simplify x²+4x+5
As explained earlier, the posted quadratic cannot be further simplified. If the instructions were to "simplify", you're already done.

But you mention using the Quadratic Formula, which suggests that the instructions were actually to find the zeroes. Please reply with clarification. Thank you.
 
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