SOLUTION: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Express one number as x, the other in terms of x).
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-> SOLUTION: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Express one number as x, the other in terms of x).
Thanks.
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Question 117634This question is from textbook
: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Express one number as x, the other in terms of x).
Thanks. This question is from textbook
You can put this solution on YOUR website! x+y=25 or x=25-y
x^2+y^2=313 substitute (25-y) for x in this equation & solve for y
(25-y)^2+y^2=313
625-50y+y^2+y^2=313
2y^2-50y+625-313=0
2y^2-50y+312=0
2(y^2-25y+156)=0
2(y-13)(y-12)=0
y-13=0
y=13 answer.
y-12=0
y=12 answer.
proof
12^2=13^2=33
144+169=313
313=313
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