You can put this solution on YOUR website! The point is that you have to get out of square root and fraction in both sides..
If you take 6th degree of square of both sides you'll solve this..Observe >>
as (1/3)*6 = 2(left side) and 6/2 = 3 (right side)
After then >>
so that
You can not solve this immediately as it's not a regular cubic equation. You have to find roots.Check from any search engine to find roots of cubic equation.
RF.
There is no solution but we can show why there is no solution.
Square both sides:
Simplify:
Cube both sides:
Simplify:
We try 1 to see if it is a solution:
1 | 1 -1 2 -1
| 1 0 2
1 0 2 1
1 is not a solution. However, since all numbers on the
bottom row of the synthetic division are non-negative,
1 is an upper bound for the solutions. So any solutions
are therefore less than 1. However any solution less than
1 when substituted into the original equation, which is:
will yield a negative number on the left side. However
the right side is non-negative because the square root
radical cannot be a negative number. Therefore there
can be no solution.
We can check that conclusion graphically, heuristically.
Below is the graph of
From which we can see there is no solution for y=0 since
the entire graph is below the x-axis.
Edwin
