How do you factor 5x^2-5/2x+1/5=0?

1 Answer
Sep 28, 2015

x_1 =2/5
x_2=1/10

Explanation:

quadratic formula :
x_1,_2 =(-b+- sqrt(b^2-4ac))/(2a)

simplify equation by multiplying both sides with 10
50x^2-25x+2=0

here, a=50, b=-25, c=2

using quadratic formula
x_1,_2=(-(-25)+- sqrt((-25)^2-50*2))/(2*50)

After solving,
x_1=(25+ sqrt(225))/(100) = 2/5
x_2=(25- sqrt(225))/(100) = 1/10