Question

X
2
−8x+65=0 in simplest a, plus, b, ia+bi form

Answer 1

Explanation:

x²-8x+65=0

`x=(8\pm√((-8)^2-4 * 1 * 65) )/(2 * 1) \\x=(8\pm√(64-260) )/(2) \\x=(8\pm √(-196) )/(2) \\x=(8\pm 14√(-1) )/(2) \\x=4\pm7√(\iota^2) \\x=4 \pm7 \iota\\x=4+7 \iota\\and\\x=4-7\iota`