‘Complete the Square’– how do I do that?
The problem reads:
Solve by completing the square. x(squared)-10x+1=0
How do I solve that? Am I supposed to know this by the first day of Geometry, my algebra 2 friends don’t know it…..
Thanx everyone, it’s much appreciated!
Favorite Answer
=> (x^2 – 10x) + 1 = 0
Now complete the square…
=> (x^2 – 10x + 25 – 25) + 1 = 0
=> (x^2 – 10x + 25) – 25 + 1 = 0
(x^2 – 10x + 25) reduces to: (x – 5)^2…
=> (x – 5)^2 – 24 = 0
=> (x – 5)^2 = 24
=> x – 5 = +/- √24
=> x – 5 = +/- 2√6
=> x = 5 +/- 2√6
Therefore, x = 5 + 2√6 or 5 – 2√6.
To understand more about “completing the square,” check out this website:
1. x (sq)- 10x + 1 =
2x – 10x + 1 + =
-8x + 1 – 1= 0 – 1
-8x = -1
-8 + 8 x = -1 + 8
x = 7
there you go! simple right?
Good Luck w/ Geometry!!!
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