Respuesta :
Answer:
- x = 1.5 or x = 0.5
Step-by-step explanation:
Given equation:
- 4x² - 8x + 3 = 0
Find the discriminant:
- D = b² - 4ac = (-8)² - 4*4*3 = 16
The roots are:
- x = (-b ± √D)/2a = (8 ± √16)/(2*4) = (8 ± 4)/8 = 1 ± 1/2
- x = 1.5 or x = 0.5
- 4x²-8x+3=0
So
- x=(8±√8²-4²(3))/2(4)
- x=(8±√64-48)/8
- x=(8±4)/8
- x=1±1/2
So
x=3/2 or 1/2