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25x^3+5x^2+30x+6=0 solve

User Phiber
by
3.2k points

2 Answers

6 votes
answer: x is equal to -1/5
User Raid
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3.7k points
10 votes

Answer:

x = -1/5, x = i sqrt(30)/5, x = -i sqrt(30)/5

Explanation:

25x^3 + 5x^2 + 30x + 6 = 0

5x^2(5x + 1) + 6(5x + 1) = 0

(5x + 1)(5x^2 + 6) = 0

5x + 1 = 0

5x = -1

x = -1/5

5x^2 + 6 = 0

5x^2 = -6

x^2 = -6/5

x = +/- sqrt(-6/5)

x = +/- i * sqrt(30)/5

x = i sqrt(30)/5 or x = -i sqrt(30)/5

User Seibelj
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3.4k points