Solve this equation? X=3sqrtx

Question

626 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-16T23:32:21

See a solution process below:

Note: Assuming the problem is: #x = 3sqrt(x)#

First, square both sides of the equation to eliminate the radical while keeping the equation balanced:

#x^2 = (3sqrt(x))^2#

#x^2 = 3^2(sqrt(x))^2#

#x^2 = 9x#

Next, subtract #color(red)(9x)# from each side of the equation to put the expression in standard form:

#x^2 - color(red)(9x) = 9x - color(red)(9x)#

#x^2 - 9x = 0#

Then factor the left side of the equation as:

#x(x - 9) = 0#

Now, solve each term on the left for #0#

Solution 1:

#x = 0#

Solution 2:

#x - 9 = 0#

#x - 9 + color(red)(9x) = 0 + color(red)(9x)#

#x - 0 = 9#

#x = 9#

The Solution Is: #x = {0, 9}#