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