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Murljashka [212]
3 years ago
11

X^3+3x^2=25x+75 what is the solution set

Mathematics
2 answers:
I am Lyosha [343]3 years ago
6 0
X³ + 3x² = 25x + 75
x³ + 3x² - 25x - 75 = 0

x²(x + 3) - 25(x + 3) = 0
(x² - 25) * (x + 3) = 0

(x² - 25) = 0     (x + 3) = 0
x² = 25            x = -3
x = ±5

Hope this helps! :)
EastWind [94]3 years ago
5 0
X²(x+3) = 25(x+3)
divide both sides by (x+3)
x² = 25
subtract 25 from both sides
x² - 25
(x+5)(x-5)
x = { -5, 5 }
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