Find all distinct roots real or complex of z24z8 Enter the r
Find all distinct roots (real or complex) of z2+4z+8. Enter the roots as a comma-separated list of values of the form a+bi. Use the square root symbol \'\' where needed to give an exact value for your answer.
Solution
z^2 + 4z + 8
applying quadratic formula
z = { -b + - sqrt (b^2 - 4ac ) } / 2a
a = 1 , b = 4 , c = 8
plugging the values in the formula
z = { -4 + - sqrt ( 16 - 32 ) } / 2
z = -2 + 2i
z = -2 - 2i

