SOLUTION: use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula. y2 – 4y + 1 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula. y2 – 4y + 1 = 0      Log On


   

Question 934060: use the discriminant to determine the number
of real roots of each equation and then solve each equation using
the quadratic formula.
y2 – 4y + 1 = 0
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a= 1 , b= -4 , c= 1

b^2-4ac= 16 + -4
b^2-4ac= 12

%09sqrt%28%0912%09%29=%093.46%09
y=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
y1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
y1=( 4 + 3.46 )/ 2
y1=( 3.73
y2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
y2=( 4 -3.46 ) / 2
y2= 0.27