Sum of squares of two numbers is 60 and difference of the squares is 12. Find the sum of two numbers
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let the numbers be x and y let their squares be x^2 and y^2
given x^2 + y^2=60
x^2 =60-y^2---------------(1)
x^2 - y^2 = 12
from(1)
60 - 2y^2 =12
2y^2= 48
y^2= 24
x^2 = 60 - 24
x^2= 36
x=6
their sum is
6 + root of 24
6 +2*root 6
root6*(root6 + 2)
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