Find all complex solutions of x^2-5x+7=0

x1=5/2+i

x2=5/2-i

Step-by-step explanation:

x^2-5x+7=0

a=1, b=-5, c=7

x1 = (-b+sqrt (b^2-4ac)) / 2a

x1 = ( - (-5) + sqrt (5^2 - 4*1*7)) / 2

x1 = (5+sqrt (25-28)) / 2

x1 = (5+sqrt (-4)) / 2

x1 = (5+sqrt (4i^2)) / 2

x1 = (5+2i) / 2

x1=5/2+i

x2 = (-b-sqrt (b^2-4ac)) / 2a

x2 = (5-2i) / 2

x2=5/2-iw