SOLUTION: try n solve this algebraicly with the working: The sum of two numbers is 43, and their product is 450. What is their difference? PLS

Algebra.Com
Question 608056: try n solve this algebraicly with the working: The sum of two numbers is 43, and their product is 450. What is their difference? PLS
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
"The sum of two numbers is 43" ___ x + y = 43 ___ y = 43 - x

"their product is 450" ___ xy = 450

substituting ___ x(43 - x) = 450 ___ 43x - x^2 = 450 ___ 0 = x^2 - 43x + 450

factoring ___ 0 = (x - 25)(x - 18)


a quick analysis can yield the solution
___ one of the factors of 450 has to end in 0 or 5
___ 5 and 38...no
___ 10 and 33...no
___ 15 and 28...no
___ 20 and 23...no
___ 25 and 18...jackpot

RELATED QUESTIONS

the sum of two numbers is 43 and their product is 450 what is the... (answered by hkwu)
two numbers their sum is 43 and their product is 405 . what are the difference of this... (answered by Alan3354)
If two numbers differ by 6, then what is the least possible value of their... (answered by rapaljer)
two numbers differ by 9. the sum of their squares is 653. what are the... (answered by josgarithmetic)
two numbers differ by 18 and their sum is 68. what are the numbers (answered by mananth,checkley79)
two numbers differ by 7 and the sum of their squares is 29. find the numbers (answered by JBarnum,Stitch)
the sum of two numbers is 77 and their difference is 31. what is their... (answered by TimothyLamb)
The product of two numbers is 36 and their sum is 37. What is their difference... (answered by addingup)
two positive numbers differ by 4 and square of their sum is 324. Find the... (answered by josgarithmetic)