How are the x-intercepts if a parabola and the solutions to its quadratic equation related

the x intercept is the solution

Step-by-step explanation:

The x intercepts of a parabola is where the parabola intercepts the x axis, with the y value of 0. The solutions, also known as the roots of the equation, is what x values makes the whole equation equal to 0. Hope this helps ♡

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)