SOLUTION: college algebra - completing the square would you help me finish this? I wasn't sure what factors to pick out from 196 so I choose 4 times 49. How do I choose what to use? x^

Question 405860: college algebra - completing the square
would you help me finish this? I wasn't sure what factors to pick out from 196 so I choose 4 times 49. How do I choose what to use?
x^2-10x+24=0
x=-10+-sqrt((-10)^2-4(1)(24))/2(1))
x=10 +- sqrt((100-(-96))/2)
x=10 +-sqrt((196)/(2)
2sqrt(4(49))/2))
sqrt(2^2(49))/(2)
2+-sqrt49/2
2(1+-sqrt49/2)
1sqrt49
x=1sqrt49 right?
Found 2 solutions by josmiceli, emargo19:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Here's how I do it:

Take 1/2 of the coefficient of , square it, and add it
to both sides.

Take the square root of both sides

and, also
(the other square root of 1)

from these, I get and , so
The factors are

Answer by emargo19(101) (Show Source): You can put this solution on YOUR website!

and
and
and
RELATED QUESTIONS
I wasn't sure what to list this under because it's not algebra, it's just confusing! I... (answered by CubeyThePenguin)
I'm using a book called No-Nonsense Algebra by Richard Fisher. I've run into a problem... (answered by MathLover1,math_helper)
I need help completing the square for this problem. 16x^2-16x-5=0 So far I have... (answered by Msgenes)
What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)
Please tell me where we went wrong. The answer does not check out when you put it back... (answered by edjones)
I need to solve by completing the square x^2-4X+45 I believe I would first divide by... (answered by josgarithmetic,josmiceli)
Simplify by removing factors of 1 6x-42/6x Is it undefined or 42/1? I wasn' really... (answered by John10)
Please help me solve this by COMPLETING THE SQUARE 28x-2x^2=26 I got no real... (answered by Alan3354,josgarithmetic,MathLover1,MathTherapy)
Please help me with this. Here is the Problem. Find the vertex, focus, and directrix... (answered by scott8148)