Mathematics
anthonyfrazier32
4

X^3+216=0 solve the equation , try your solutions

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(2) Answers
Llama11

x³  + 216 = 0 x³   = 0 - 216 x³   = - 216    Take the cube root of both sides. ∛x³ =  ∛-216 x = -6 Check: x³  + 216 = 0,    x = -6 (-6)³  + 216 = 0 -216 + 216 = 0 0  =  0          Correct.

mitchelljoshua6

   x = -6 Factoring:  x3+216   A sum of two perfect cubes,  a3 + b3 can be factored in to: (a+b) • (a2-ab+b2) Proof  : (a+b) • (a2-ab+b2) =     a3-a2b+ab2+ba2-b2a+b3 =     a3+(a2b-ba2)+(ab2-b2a)+b3=     a3+0+0+b3=     a3+b3 Check :  216  is the cube of   6 Factorization is :              (x - 6)  •  (x^2 + 6x + 36) Hope This Helped

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