Question

Solve using the quadratic formula x^2-4x+1=0

Answer 1

Answer:

x=2+ or - the square root of 3

Step-by-step explanation:

solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer 2

Answer:

x = 5.73   and x =  2. 27

Step-by-step explanation:

Quadratic formula

x = -b ± $\frac{\sqrt{b^{2} - 4ac } }{2a}$

x^2-4x+1=0

from the equation;

a = 1

b = -4

c = 1

slot in the values in x = -b ± $\frac{\sqrt{b^{2} - 4ac } }{2a}$

x = - (-4) ±  $\frac{\sqrt{-4^{2} - 4*1*1 } }{2*1}$

x = 4 ±  $\frac{\sqrt{16 - 4 } }{2}$

x = 4 ± $\frac{\sqrt{12 } }{2}$

x = 4 ± $\frac{\sqrt{12 } }{2}$

x = 4 ± 1.73

x = 4 + 1.73 = 5.73

and

x = 4 - 1.73 = 2. 27