SOLUTION: I am having difficulty solving the following problem. Can someone please assist me in doing so. Thanks!
One number is 6 less than another. The product of the number is 72. Find th
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Question 169972: I am having difficulty solving the following problem. Can someone please assist me in doing so. Thanks!
One number is 6 less than another. The product of the number is 72. Find the numbers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"One number is 6 less than another." translates to
"The product of the number is 72" translates to
Start with the second equation
Plug in
Distribute.
Subtract 72 from both sides.
Notice we have a quadratic equation in the form of where , , and
Let's use the quadratic formula to solve for x
Start with the quadratic formula
Plug in , , and
Negate to get .
Square to get .
Multiply to get
Rewrite as
Add to to get
Multiply and to get .
Take the square root of to get .
or Break up the expression.
or Combine like terms.
or Simplify.
So the answers are or
This means that the numbers are:
12 and 6
OR...
-6 and -12
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