Find the solution for x 6x212 1SolutionThe equation could

Find the solution for x = 6[(x-2)^1/2 - 1]

Solution

The equation could be written, also:

6(x-2)^1/2 = x+6

We\'ll square raise the expression above:

36(x-2) = x^2+12x+36

We\'ll remove the brackets:

36x-72 = x^2+12x+36

x^2-24x+108 = 0

We\'ll apply the quadrativ formula:

x1= [24 + sq root (24^2 - 4*108)]/2

x1 = 18

x2 = [24 - sq root (24^2 - 4*108)]/2

x2 = 6