solve using quadratic formula x^2-3x+5=0

Question

wHAT WOULD BE THE ANSWER FOR THIS EQUATION USING SOME RULES OF IMAGINARY NUMBERS. IT WILL BE ALRIGHT IF ANSWER WILL BE IN FRACTION. PLEASE SOLVE AND TELL ME THE ANSWER AND BRIEF DESCRIPTION OF ANSWER I AM PUZZLED IN SOLVING THIS PROBLEM

 

Answer 1

a = 1, b = -3, c = 5

 

x = [-b ± √(b² - 4ac)] / (2a)

 

= [-(-3) ± √((-3)² - 4(1)(5))] / (2(1))

 

= [3 ± √(-11)]/2

 

=(3/2)  ± (1/2)√(11) i