Question

Please walk me through-
solve the quadratic equation:
6x=4x^2+1

Answer 1

Move the 6x to the other side.
4x^2 -6x +1 = 0
Use the Quadratic Formula to find the roots, since you can't factor this easily.
x=(-b +/- sqrt(b^2-4ac)) / 2a
x=(6 +/- sqrt(36-16)) / 8 = (6+/- sqrt(20)) / 8 = (6 +/- 2*sqrt(5)) / 8 =
(3 +/- sqrt(5)) / 4