SOLUTION: The difference of two positive integers is 7. Find the 2 positive integers if their product is 42.
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Question 919667: The difference of two positive integers is 7. Find the 2 positive integers if their product is 42.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let two positive integers be and
if the difference of two positive integers is , then we have:
.......eq.1
if their product is ,then we have:
.......eq.2
solve the system:
.......eq.1
.......eq.2
________________________________
.......eq.2.......solve for
........plug it in eq.1
.......eq.1
....solve for
....use quadratic formula to solve for
solutions:
or
find
or
solution pairs:
,
and
,
check eq.1:
.......eq.1 for ,
......eq.1 for ,
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