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The solutions can be approximated to any degree of
accuracy by the use of technology.
Two of the solutions are irrational real imaginary solutions
x≈-0.8138466122
x≈ 1.937109424
The others two are conjugate irrational complex imaginary solutions:
x≈-0.561631406 + 1.690009699i
x≈-0.561631406 - 1.690009699i
Edwin