the sum of two numbers is 1000 and the difference between their square is 256000. find the numbers.
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Answered by
4
Let the two numbers by x and y
x+y= 1000
x^2-y^2= 256000
(x+y)(x-y)= 256000
(x-y)= 256
x+y=1000
x-y=256
Adding these two equations we get
2x= 1256
x= 628
y= 372
x+y= 1000
x^2-y^2= 256000
(x+y)(x-y)= 256000
(x-y)= 256
x+y=1000
x-y=256
Adding these two equations we get
2x= 1256
x= 628
y= 372
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