SOLUTION: how do you solve x squared + 10x + 25 all under a radical

Algebra ->  Radicals -> SOLUTION: how do you solve x squared + 10x + 25 all under a radical      Log On


   



Question 268733: how do you solve x squared + 10x + 25 all under a radical
Answer by persian52(161) About Me  (Show Source):
You can put this solution on YOUR website!
~(x^(2)+10x+25)
For a polynomial of the form x^(2)+bx+c, find two factors of c (25) that add up to b (10). In this problem 5*5=25 and 5+5=10, so insert 5 as the right hand term of one factor and 5 as the right-hand term of the other factor.
~((x+5)(x+5))
Combine the two common factors of (x+5) by adding the exponents.
~((x+5)^(2))
Remove the parentheses around the expression x+5.
Answer: x+5
There you go!☆