Question

What are the solutions of 4x2 - 8x +5 = 0 ?

Answer 1

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

Answer 2

Answer:

x= {2+ i}/2 , {2- i}/2 = C

Step-by-step explanation:

4x² - 8x +5 = 0

using quadratic formula

x= {-b±√b²-4ac}/2a

x= [-(-8)±√(-8)²-4(4)(5)] /2x4 = [8±√64-80]/8= [8±√-16]/8 = {8±4 i}/8

x= {8+4 i}/8 , {8-4 i}/8

x=4 {2+ i}/8 , {2- i}/8

4 divides 8

x= {2+ i}/2 , {2- i}/2 = c