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31 votes
31 votes
Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0

User Smaug
by
3.2k points

1 Answer

15 votes
15 votes

Answer:

x = 0.7401 ± 0.7401i, x = 0

Explanation:

(6 • (x^2)) + 5x^6 = 0

(2•3x^2) + 5x^6 = 0

5x^6 + 6x^2 = x^2 • (5x^4 + 6)

x^2 • (5x^4 + 6) = 0

x^4 = -6/5 = -1.200

x = ∜ -6/5

⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.

→ x = 0

→ x = 0.7401 ± 0.7401i

User Jola
by
3.5k points