SOLUTION:
the sum of two numbers is 20 and the sum of their square is 208. find these numbers
Algebra.Com
Question 124994:
the sum of two numbers is 20 and the sum of their square is 208. find these numbers
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X+Y=20 OR X=20-Y
X^2+Y^2=208
(20-Y)^2+Y^2=208
400-20Y+Y^2+Y^2=208
2Y^2-20Y+400-208=0
2X^2-20Y+192=0
2(X^2-10X-96)=0
2(X-16)(X+6)=0
X-16=0
X=16 ANSWER.
X+6=0
X=-6 ANSWER.
RELATED QUESTIONS
The sum of two numbers is 20, and the sum of their squares is 208. Find the... (answered by Alan3354)
find two numbers whose sum is 20 and the difference of their square is... (answered by Fombitz)
The sum of two numbers is 80 and their differences is 20.find the... (answered by rfer)
The sum of two numbers is 20 and their difference is 4.find the numbers.
(answered by ikleyn)
Jack is thinking of two positive numbers, one of them is 4 more than the other and the... (answered by algebrahouse.com)
two positive numbers differ by 4 and square of their sum is 324. Find the... (answered by josgarithmetic)
The sum of squares of two numbers is 65 and the square of their sum is 121.find the... (answered by harpazo)
the sum of two numbers is 22 and the sum of their square is 250. find the numbers
(answered by Alan3354)
The sum of two numbers is 131, and their difference is 37. Find the value of these two... (answered by ikleyn)