SOLUTION: The sum of the squares of two numbers is 256 and the square of their sum is 784. What is the product of the two numbers?
Algebra.Com
Question 894317: The sum of the squares of two numbers is 256 and the square of their sum is 784. What is the product of the two numbers?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Two numbers, x and y.
and
The 784 equation is ; subtract the circle 256 equation from it:
----THE ACTUAL ANSWER TO THE QUESTION
, and try substituting this into the circle equation.
Solve for
Discriminant:
which is
, which is four different values.
This is not really finished.
Still want to find y for each of those x values.
Note, the actual question was to find the product of x and y, which was actually found early in this work.
.
RELATED QUESTIONS
the sum of the squares of two numbers is 256 and the square of their sum is 784. what... (answered by Fombitz)
The sum of two numbers is 256 and the square of their sum is 784.What is the product of... (answered by josgarithmetic)
If the sum of the squares of two numbers is equal to the square of their sum, then what... (answered by macston)
if the difference of two numbers is 10 and their product is 18,what is the sum of their... (answered by checkley71)
if the difference of two numbers is 10 and their product is 18,what is the sum of their... (answered by ankor@dixie-net.com)
If the difference of two numbers is 8, and their product is 13, what is the sum of their... (answered by nyc_function)
If the difference of two numbers is 8 and their product is 13, what is the
sum of their... (answered by Fombitz)
The sum of squares of two numbers is 65 and the square of their sum is 121.find the... (answered by harpazo)
if the difference of two numbers is 8 and their product is 17, what is the sum od their... (answered by Fombitz)