Find z, if it is known that: a: $$-y^2 + x^2 = 20$$ b: $$y^3 - 2x^2 - 4z \geq -12$$ and c: x, y and z are all

Question

Find z, if it is known that: a: $$-y^2 + x^2 = 20$$ b: $$y^3 - 2x^2 - 4z \geq -12$$ and c: x, y and z are all positive integers

Accepted Answer

1. Since x 2 − y 2 = 20 x^2-y^2=20 x 2 − y 2 = 20 and x,y,z are positive integers, (x+y)*(x-y) = 20, Hence x-y, x+y are factors of 20. Since x, y are positive integers, x+y is always positive, and for the product of (x+y)*(x-y) to be positive x-y must be positive. x, y are positive integers and x-y is

Find z, if it is known that:
a: $-y^2 + x^2 = 20$
b: $y^3 - 2x^2 - 4z \geq -12$ and
c: x, y and z are all positive integers

Find z, if it is known that:
a: $-y^2 + x^2 = 20$
b: $y^3 - 2x^2 - 4z \geq -12$ and
c: x, y and z are all positive integers

Find z, if it is known that:a: −y2+x2=20-y^2 + x^2 = 20−y2+x2=20b: y3−2x2−4z≥−12y^3 - 2x^2 - 4z \geq -12y3−2x2−4z≥−12 andc: x, y and z are all positive integers

Find z, if it is known that:a: −y2+x2=20-y^2 + x^2 = 20−y2+x2=20b: y3−2x2−4z≥−12y^3 - 2x^2 - 4z \geq -12y3−2x2−4z≥−12 andc: x, y and z are all positive integers

Find z, if it is known that:
a: $-y^2 + x^2 = 20$
b: $y^3 - 2x^2 - 4z \geq -12$ and
c: x, y and z are all positive integers

Find z, if it is known that:
a: $-y^2 + x^2 = 20$
b: $y^3 - 2x^2 - 4z \geq -12$ and
c: x, y and z are all positive integers