Answer:
a-bi
Step-by-step explanation:
If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi
Because we have l, m and n are real numbers and they are the coefficients.
Sum of roots = a+bi + second root = -m/l
When -m/l is real because the ratio of two real numbers, left side also has to be real.
Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.
i.e. other root will be of the form c-bi for some real c.
Now product of roots = (a+bi)(c-bi) = n/l
Since right side is real, left side also must be real.
i.e.imaginary part =0
bi(a-c) =0
Or a =c
i.e. other root c-bi = a-bi
Hence proved.
Answer:
1, 3, 5
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
since she is working at a constant rate of 4 hours for every 3 minutes and video is 9 minutes 9/3 is 3 and 4x3=12
Answer:
x = 13°
Step-by-step explanation:
5x+15°=7x-11°
5x-7x = -11°-15°
-2x = -26° divide both sides by -2
x = 13°
5x+15° = 5×13°+15° = 80°
7x-11° = 7×13° -11°. = 80°
Four hundred eighty two point seventy three tenths
