Math, asked by Olamiotan, 1 month ago

x2 + y2 + z2 + a2 + x3 + y3 * 1000

Answers

Answered by chaubeyayush10
1

Answer:

GIven

x + y + z = 13,

x2 + y2 + z2 = 133

x3 + y3 + z3 = 847

Formula used :

x3 + y3 + z3 - 3xyz = (x + y + z) ( x2 + y2 + z2 - (xy + yz + zx) ) ----(1)

(x + y + z)2 = x2 + y2 + z2+ 2(xy + yz + zx) ----(2)

Calculation:

⇒ 132 = 133 + 2(xy + yz + zx) from eq(2)

⇒ 169 - 133 = 2(xy + yz+ zx)

⇒ (xy + yz + zx) = 36/2

⇒ (xy + yz + zx) = 18

⇒ 847 - 3xyz = 13(133 - 18)

⇒ 847-115×13 = 3(xyz)

⇒ -216 = xyz

⇒ -(216)1/3 = (xyz)1/3

⇒ -(216)1/3 = ∛xyz

⇒ ∛xyz = -6

Step-by-step explanation:

hope it help thanks

Similar questions