Answer:
x = 5.73 and x = 2. 27
Step-by-step explanation:
Quadratic formula
x = -b ± [tex]\frac{\sqrt{b^{2} - 4ac } }{2a}[/tex]
x^2-4x+1=0
from the equation;
a = 1
b = -4
c = 1
slot in the values in x = -b ± [tex]\frac{\sqrt{b^{2} - 4ac } }{2a}[/tex]
x = - (-4) ± [tex]\frac{\sqrt{-4^{2} - 4*1*1 } }{2*1}[/tex]
x = 4 ± [tex]\frac{\sqrt{16 - 4 } }{2}[/tex]
x = 4 ± [tex]\frac{\sqrt{12 } }{2}[/tex]
x = 4 ± [tex]\frac{\sqrt{12 } }{2}[/tex]
x = 4 ± 1.73
x = 4 + 1.73 = 5.73
and
x = 4 - 1.73 = 2. 27
