Question

Solve the equation −x2−3x=5−3x
and express the answer as a complex number with the imaginary unit. Simplify the radical in the form aib√
.(1 point)
±

Answer 1

Move all terms: −x^2−3x=5−3x ⇒ add 3x: −x^2 = 5 ⇒ x^2 = −5.
So x = ±√(−5) = ± i√5.