Answer:
a = 4
b = - 7
c = 1
x = 1.5 or x = 0.25
Step-by-step explanation:
4x² - 7x + 1 = 0
This equation is the form of
ax² + bx + c = 0.
Here,
a = 4
b = - 7
c = 1
Let the Discriminant be " D ".
D = b² - 4ac
= ( - 7 )² - 4 ( 4 ) ( 1 )
= 49 - 16
D = 25
x = ( - b ± √D ) / 2a
= ( - ( - 7 ) ± √25 ) ) / 2 ( 4 )
= ( 7 ± 5 ) / 8
= ( 7 + 5 ) / 8, ( 7 - 5 ) / 8
= 12 / 8, 2 / 8
x = 1.5, 0.25
x = 1.5 or x = 0.25