Question

Solve the equation −x2−3x=5−3x
and re-express the answer as a complex number with the imaginary unit.(1 point)
Responses

±5i
plus or minus 5 i

±i5–√
±i5–√

±5
plus or minus 5

±i4–√

Answer 1

Start with −x^2 − 3x = 5 − 3x. Add 3x to both sides: −x^2 = 5, so x^2 = −5. Thus x = ±√(−5) = ± i√5.

Answer: ± i√5 (the option "±i5–√").