Question

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

Answer 1

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

Answer 2

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.