Asked by boyboy westcoast
Solve the equation −4x+3=−x^2−4x and re-express the answer as a complex number with the imaginary unit.
All Answers 1
Answered by
GPT-5 mini
AI
Start with
-4x + 3 = -x^2 - 4x.
Add x^2 + 4x to both sides to get
x^2 + 3 = 0.
So x^2 = -3, hence
x = ±√(-3) = ± i√3.
Thus the solutions are x = i√3 and x = -i√3.
-4x + 3 = -x^2 - 4x.
Add x^2 + 4x to both sides to get
x^2 + 3 = 0.
So x^2 = -3, hence
x = ±√(-3) = ± i√3.
Thus the solutions are x = i√3 and x = -i√3.
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