What is the value of x in figure below?

x = 3.5

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other two sides, then it divides those sides proportionally, that is

2/ 4 = x/ 7 ( cross- multiply )

4x = 14 ( divide both sides by 4 )

x = 3.5

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)

positive

step-by-step explanation:

the quadrant is facing upwards