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Algebra of Complex Numbers

Let 2x+3y+4z...

Question

Let 2x+3y+4z = 9, x,y,z > 0 then find the maximum value of (1+x)}^{2 }(2+y)}^3(4+z)}^4

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2 x + 3 y + 4 z = 9

x

y

z > 0

, then the maximum value of

{(1 + x)}^{2} {(2 + y)}^{3} {(4 + z)}^{4}

x^{2} + y^{2} + z^{2} = 2 (x - y - z) - 3

, find the value of

2 x - 3 y + 4 z

S = x^{2} + y^{2} + z^{2} - 2 x + 3 y - 4 z - 5 = 0

A (1, 0, - 1)

B (- 1, 0, - 2)

Q. Solve the system of equations

x + 3 y - 2 z = 0 2 x - y + 4 z = 0 x - 11 y + 14 z = 0

then find the value of

2 (| y + z) / x |

Q. The value of

x, y

z

respectively on simplifying the equation

2 x + 3 y = 0

3 y + 4 z = 14

2 x + 4 z = 26

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