X^3+125
.factor the polynomial completely.
.set each f the factors equal to 0.
.solve each of those equation for x

X³ + 125
x³ - 5x² + 5x² + 25x - 25x + 125
x³ - 5x² + 25x + 5x² - 25x + 125
x(x²) - x(5x) + x(25) + 5(x²) - 5(5x) + 5(25)
x(x² - 5x + 25) + 5(x² - 5x + 25)
(x + 5)(x² - 5x + 25)

f(x) = x³ + 125
f(x) = x³ - 5x² + 5x² + 25x - 25x + 125
f(x) = x³ - 5x² + 25x + 5x² - 25x + 125
f(x) = x(x²) - x(5x) + x(25) + 5(x²) - 5(5x) + 5(25)
f(x) = x(x² - 5x + 25) + 5(x² - 5x + 25)
f(x) = (x + 5)(x² - 5x + 25)
   0 = (x + 5)(x² - 5x + 25)
   0 = x + 5    or    0 = x² - 5x + 25
 - 5        - 5           x = -(-5) ± √((-5)² - 4(1)(25))
  -5 = x                                        2(1)
                             x = 5 ± √((25 - 100)
                                              2
                             x = 5 ± √(-75)
                                         2
                             x = 5 ± 5i√(3)
                                         2
                             x = 2.5 ± 2.5i√(3)
                             x = 2.5 + 2.5i√(3)    or    x = 2.5 - 2.5i√(3)

Solution Set: {-5, 2.5 ± 2.5i√(3)}

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answer:
congruent segments
step-by-step explanation:
congruent segments. take a line, cut it in half, superipose one half over the other half; you'll have congruence.