What are the complex solutions of x^2+10=2x?

A x=1+3i, x=1-3i
B x=3+i, x=3-i
C x=-1+3i, x=-1-3i
D x=-5, x=2

Question

What are the complex solutions of x^2+10=2x?

A x=1+3i, x=1-3i
B x=3+i, x=3-i
C x=-1+3i, x=-1-3i
D x=-5, x=2

anonymous · Answer

1+3i and 1-3i are the complex roots of this equation

anonymous · Answer

Could you show me how you got that please?

anonymous · Answer

yes

anonymous · Answer

x^2-2x+10=0
now compare with ax^2+bx+c
here a=1 b=-2 and c=10
now find the discriminant d which is b^2-4ac
u will get it as -36
now from this we can say the equation has two complex roots which are
$$-b {\pm}\sqrt{d}/2a$$
so just substitute the value of d ,a ,b in the equation and u will get ur answer

anonymous · Answer

Okay, on my other question you answered about the distance, could you set up that equation for me. I was having a little trouble understanding it

anonymous · Answer

yes 
during the first trip let the planes velocity due to its engine be v but as the wind is in opposite direction the actual velocity due which the plane is moving is v-50
so we can say v-50=x/6 where x is the distance between the two cities
now in the return trip the velocity of plane is v but the wind velocity is in assisting condition so the actual velocity becomes v+50 so v+50=x/4,
now from these eq.. calculate v and then x