SOLUTION: find the roots of each equation by completing the square. show your work.
1. x^2-6x-10=0
2. 3x^2-6x-6
Algebra ->
Rational-functions
-> SOLUTION: find the roots of each equation by completing the square. show your work.
1. x^2-6x-10=0
2. 3x^2-6x-6
Log On
Question 926519: find the roots of each equation by completing the square. show your work.
1. x^2-6x-10=0
2. 3x^2-6x-6 Found 2 solutions by EMStelley, MathLover1:Answer by EMStelley(208) (Show Source):
You can put this solution on YOUR website! The steps to completing the square are the same for each of these, but the first one contains one less step since the coefficient of is 1.
For #1, the first step is to move the constant to the other side.
Now, we take the b term (-6 in this case), divide it by half and square it, and add it to both sides: (b/2)^2.
Now, this past step created what is called a perfect square trinomial, which allows us to factor the left hand side as , so we have:
Simplifying a bit we get
Since we now have something squared equal to a constant we can take the square root of both sides to obtain:
Adding 3 to both sides we get our final answer:
That's it!!
The only difference in #2 is that we must divide through by 3 in order for the coefficient of the term to be 1. So, step by step we have:
Hope that helps!!
