SOLUTION: We learned this in class, but I haven't yet grasped the concept. The sheet says "Solve the equation. Identify any double roots." The problem is x^2+2=11. I believe you're suppos

Algebra.Com
Question 952198: We learned this in class, but I haven't yet grasped the concept. The sheet says "Solve the equation. Identify any double roots." The problem is
x^2+2=11.
I believe you're supposed to equal it to zero. So far, I have:
x^2-9=0
Then, I added zero to the other side.
X^2=9
I managed to get x=3, but I'm not positive that it's right, and I don't know what a "double root" is. Is this a double root? Thank you!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
We learned this in class, but I haven't yet grasped the concept. The sheet says "Solve the equation. Identify any double roots." The problem is
x^2+2=11.
I believe you're supposed to equal it to zero. So far, I have:
x^2-9=0
Then, I added zero to the other side.
X^2=9
I managed to get x=3, but I'm not positive that it's right, and I don't know what a "double root" is. Is this a double root?
===============
x^2 = 9
x = 3
x = -3
----------
Not a double root, 2 separate roots.
==================
x^2 - 2x + 1 = 0
(x-1)^2 = 0
x = 1
x = 1
--------------
2 solutions, both +1.
That's a double root.

RELATED QUESTIONS

An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by ikleyn,Theo,MathTherapy)
I'm working on some summer problems so that I can be more prepared when I go into my... (answered by Theo,math_helper)
I don't know how to solve for t here: t^3 - 12 t^2 - 45 t + 56 Wolfram Alpha says... (answered by Alan3354)
I cannot solve this problem. I know what the answer is because I used a process if... (answered by Earlsdon)
In the problem I'm working on, I have to draw a scalene triangle with set side lengths,... (answered by scott8148)
hi! I haven't been successful in finding help online on how to do this type of problem,... (answered by math_tutor2020,Solver92311,ikleyn)
What is the distance between (7,-3) and (-1,4) ? We haven't learned this (answered by scott8148)
This is not from a book. On the 2nd day of class the teacher gave us a work sheet to see (answered by rapaljer)
I have to find the equation of 2 points (2, 90) and (4, 810) We have not learned how to... (answered by stanbon,Alan3354)