SOLUTION: the sum of two numbers X and Y is 11. the product of the two numbers is 21. 25. solve your equations to find the possible values of X and Y by using simultaneous equations.

Algebra ->  Linear-equations -> SOLUTION: the sum of two numbers X and Y is 11. the product of the two numbers is 21. 25. solve your equations to find the possible values of X and Y by using simultaneous equations.      Log On


   

Question 1068933: the sum of two numbers X and Y is 11. the product of the two numbers is 21. 25. solve your equations to find the possible values of X and Y by using simultaneous equations.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28X%2BY=11%2CXY=21.25%29

x%2811-X%29-21.25=0
-X%5E2%2B11X-21.25=0
X%5E2-11X%2B21.25=0

discriminant, 121-4%2A21.25=121-85=36=6%5E2

X=%2811%2B-+6%29%2F2

system%28X=5%2F2%2COR%2CX=17%2F2%29

The two numbers are 5%2F2 and 17%2F2.