Question

f x squared equals y plus z, y squared equals x plus z, z squared equals x plus y, then what is a possible value of fraction numerator 1 over denominator x plus 1 end fraction plus fraction numerator 1 over denominator y plus 1 end fraction plus fraction numerator 1 over denominator z plus 1 end fraction assuming x, y, and z are all real numbers?

Answer 1

Answer:

x, y, z = 0 or x, y, z = 2

Step-by-step explanation:

considering these equations,

x^2 = y + z

y^2 = x + z

z^2 = x + y

the possible solutions are : 0, 2, and (-1 - i, i, i)

but we shall ignore the last root since the question says x y and z are real numbers,,

therefore, the solutions should be like:

x = 2 , y = 2 , z = 2

OR

x = 0 , y = 0 , z = 0

Answer 2

Check attached file for answer