Here are two steps from the derivation of the quadratic formula. what took place between the first step and the second step? *apex

ANSWER

C. Factoring a perfect square trinomial.

EXPLANATION

The first step shown is:

Observe that the left hand side is a perfect square trinomial.

In other words, the left hand side is of the form,

which can be factored as:

When we factor the perfect square trinomial on the left hand side, we obtain:

The correct answer is C

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)