Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the quadratic formula.

Step-by-step explanation:

The given equation is

Let be the coefficient of

Let be the coefficient of

Let be the constant.

Then the roots α,β for the equation are

So,α=

β=.

So the roots are

456567546657689765432567890-9876543567890-987657890

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)