Question

If x, y and z are real numbers such that x + y + z =9 and xy +yz + zx = 24. find the largest possible value of z.
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Answer 1

Answer:

Step-by-step explanation:

Put from z=7,y=x=1

But equation not satisfy.

Put z=6,y=2,x=1

Equation not satisfy.

Put z=5 ,x=2,y=2

=> x+y+z = 5+2+2=9

=> xy+yz+zx = 4+10+10 = 24

Z=5 is a maximum value.