Prove that, if x*y = z^2 and x z, for any positive numbers x, y and z.

Question

Prove that, if x*y = z^2 and x < z then y > z, for any positive numbers x, y and z.

Mike D. · Accepted Answer

y = z^2/xAs x < z,  and x,y,z are positive then y = z^2 / x  >  z^2 / z = zbecause if you decrease the denominator of a fraction the value increases

Prove that, if x*y = z^2 and x < z then y > z, for any positive numbers x, y and z.