Question

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

Answer 1

x1=5/2+i

x2=5/2-i

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