SOLUTION: find two positive numbers whose difference is 24 and whose product is 217
Algebra.Com
Question 683844: find two positive numbers whose difference is 24 and whose product is 217
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
ind two positive numbers whose difference is 24
a - b = 24
a = (b+24)
:
and whose product is 217
a * b = 217
replace a with (b+24)
b(b+24) = 217
a quadratic equation
b^2 + 24b - 217 = 0
Factors to
(b+31)(b-7)
the positive solution is all we want here
b = 7
then
a - 7 = 24
a = 31
:
:
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