x^2 - y^2 = (x+y)(x-y)
x-y=SQRT((x+y)^2 - 4xy)
x^2 - y^2 = 7√41
x, y, z are 3 non zero positive integers such that x+y+z = 8 and xy+yz+zx = 20,
What would be minimum possible value of x*y^2*z^2
x + y = 7 &
x^3 + y^3 = 133
Where x,y both are real numbers.
The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution
T(x,y,z) = 50.(xy + yz)
What is the temperature difference between the coldest and warmest point on the sphere?
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