SOLUTION: Find the Value of K K.......3+K.........-10 1-K......2-K......... 5 = 48 2 ......4+K......... -K

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Question 1121866: Find the Value of K
K.......3+K.........-10
1-K......2-K......... 5 = 48
2 ......4+K......... -K
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Use formula for the left side of the equation:





That simplifies to:

K%5E2+%2B+3+K+%2B+30 = left side of equation:

So the equation is:

matrix%281%2C3%2CK%5E2+%2B+3+K+%2B+30%2C%22%22=%22%22%2C48%29

Get 0 on the right by subtracting 48 from both sides

matrix%281%2C3%2CK%5E2+%2B+3+K+-+18%2C%22%22=%22%22%2C0%29

Factor left side:

matrix%281%2C3%2C%28K+%2B+6%29%28K+-+3%29%2C%22%22=%22%22%2C0%29 

Use zero-factor principle:

K+6 = 0;  K-3 = 0
  K = -6;   K = 3   <---two solutions!

Edwin