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bigbrogamer
14.07.2019 •
Mathematics
Simple question : ( solve for all roots of the equation. show all work for full credit. x3 + 216 = 0
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Ответ:
1.1 Factoring: x3-216
Theory:
A difference of two perfect cubes, a3 - b3 can be factored into
(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
Check: x3 is the cube of x1
Ответ:
0
Step-by-step explanation: