Answer: option C is the correct answer
Step-by-step explanation:
The given quadratic equation is expressed as
4x² - 8x + 5 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 4
b = - 8
c = 5
Therefore,
x = [- - 8 ± √(- 8² - 4 × 4 × 5)]/2 × 4
x = [8 ± √(64 - 80)]/8
x = [8 ± √- 16]/8
x = (8 + 4i)/8 or x = (8 - 4i)/8
x = (2 + i)/2 or x = (2 - i)/2
