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(x^3-7)/(x+5)

 Apr 15, 2016
 #1
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Solve for x:
(x^3-7)/(x+5) = 0

Multiply both sides by x+5:
x^3-7 = 0

Add 7 to both sides:
x^3 = 7

Taking cube roots gives 7^(1/3) times the third roots of unity:
Answer: |  x = -(-7)^(1/3)       or       x = 7^(1/3)      or        x = (-1)^(2/3) 7^(1/3)

 Apr 16, 2016
 #3
avatar+9675 
+1

Using polynomial division

x37x+5=x25x+2532x+5

 Apr 17, 2016

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