SOLUTION: The sum of the square of a number and seven times another number is equal to 70. Find the minimum difference between the same two numbers. Find the two numbers that achieve this mi

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Question 1091369: The sum of the square of a number and seven times another number is equal to 70. Find the minimum difference between the same two numbers. Find the two numbers that achieve this minimum value.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the square of a number and seven times another number is equal to 70.
x^2 + 7y = 70
7y = 70 - x^2
y = %28%2870-x%5E2%29%29%2F7
graphically
+graph%28+300%2C+300%2C+-15%2C+15%2C+-15%2C+15%2C+%2870-x%5E2%29%2F7%2C+4.86%29+
:
Find the minimum difference between the same two numbers.
This occurs when x=6 then y=4.86 (green line)
Find the two numbers that achieve this minimum value.
6 - 4.86 = 1.14 is minimum difference