SOLUTION: Find all positive values for k for which each of the following can be factored. x^2 + x - k I am having trouble with this problem and need some help. Thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all positive values for k for which each of the following can be factored. x^2 + x - k I am having trouble with this problem and need some help. Thanks.       Log On


   

Question 70579This question is from textbook Beginning Algebra
: Find all positive values for k for which each of the following can be factored.
x^2 + x - k
I am having trouble with this problem and need some help. Thanks. This question is from textbook Beginning Algebra

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
K CAN BE ANY NUMBER WHEN THE DIFFERENCE OF THE TWO FACTORS = 1.
THUS 2=2*1 2-1=1
6=3*2 3-2=1
12=4*3 4-3=1
20=5*4 5-4=1
30=6*5 6-5=1
35=7*6 7-6=1
ETC.