How do you solve z2+12=−z?

Cassarrim1

Cassarrim1

Answered

2022-01-21

How do you solve z2+12=z?

Answer & Explanation

spelkw

spelkw

Expert

2022-01-22Added 12 answers

Use the quadratic formula
z2+12=zx2+x+12=0
z=1±124(12)(1)2=12±472i
Alternatively, you could complete the square,
z2+z+12=0
z2+z+14+474=0
(z+12)2=474
z+12=±472i
z+12=±472i
z=12±472i
Which yields the same result (the quadratic formula is derived from completing the square)

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