Math, asked by vamsi3prog, 3 months ago

If x + 4y + 92? + byz - 3zx - 2xy = 0, then equal all of them​

Answers

Answered by batthharsiratkaur
0

Step-by-step explanation:

f(x,y,z)=x

2

+4y

2

+9z

2

−6yz−3zx−2xy

=

2

1

[2x

2

+8y

2

+18z

2

−12yz−6zx−4xy]

=

2

1

[(x

2

−4xy+4y

2

)+(x

2

−6zx+9z

2

)+(9z

2

−12yz+4y

2

)]

=

2

1

[(x−2y)

2

+(x−3z)

2

+(3z−2y)

2

]

Hence

f(x,y,z)=

2

1

[(x−2y)

2

+(x−3z)

2

+(3z−2y)

2

]

Since x,y,xϵR hence f(x,y,z)≥0.

Hope it would be helpful to you

Similar questions