Posted by **Victoria** on Friday, April 25, 2014 at 4:36pm.

Find the roots of each quadratic polynomial.

1. x^2 + 2

2. x^2 - 6x - 7

- Algebra 1 (Reiny) -
**Damon**, Friday, April 25, 2014 at 4:48pm
1. x^2 = -2

x = +/- i sqrt 2 imaginary roots

2. x = [ 6 +/- sqrt (36+28) ] / 2

= 3 +/- 4

7 or -1

or just factor it

(x-7)(x+1) = 0

- Algebra 1 (Reiny) -
**Victoria**, Friday, April 25, 2014 at 4:57pm
I'm sorry, but I don't understand. I haven't learned about this solving method yet. What are imaginary roots?

- Algebra 1 (Reiny) -
**Damon**, Friday, April 25, 2014 at 5:05pm
If you have not learned about imaginary roots then you have a typo in number 1

You can not solve

x^2 = -2

Unless you have had complex numbers.

You can do number two the second way I did it, by factoring.

- Algebra 1 (Reiny) -
**Victoria**, Friday, April 25, 2014 at 5:16pm
I haven't learned to factor quadratic equations yet, either. In my current lesson, I'm learning to solve quadratic equations by graphing. However, I am struggling to grasp the concept. Thus, what is a simple way to find the roots of quadratic equations by graphing?

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