Question

Find all solutions of the equation and express them in the form
a + bi.
x^2 − 8x + 17 = 0
x = ____ (positive imaginary part)
x = ____ (negative imaginary part)

Answer 1

4 + i
4 - i

Answer 2

--8+sqrt64-68 / 2
= 8 + sqrt-4 /2
= 8 + 2i /2
= 4 + i = positive imag part
other root
= 4 - i

Answer 3

can you guys help me with this one? Find all solutions of the equation and express them in the form
a + bi.
49x^2 + 3 = 14x
x = ____ (positive imaginary part)
x = ____ (negative imaginary part)

Answer 4

quadratic formula gives
\[x=\frac{1\pm \sqrt{2}i}{7}\]

Answer 5

i got that far but whats next

Answer 6

x = (1 + sqrt2*i)/7 (positive imaginary part)
x = (1 - sqrt2*i)/7 (negative imaginary part)

Answer 7

u sure

Answer 8

?

Answer 9

What makes you doubt satellite73's answer?

Answer 10

because I believe it is supposed to be further simplified

Answer 11

i am pretty sure of my answer but it is not in "standard form"

Answer 12

cannot "simplify" but can write it as
\[a+bi\]

Answer 13

\[\frac{1}{7}+\frac{\sqrt{2}}{7}i\] and its conjugate