Select whether the equation has a solution or not, square root x-2- square root 2x= square root x+2 (a. roots b. no roots)

The equation is - =

Solution

Step 1:

Take square on both sides, we get

3x - 2 -2 = x +2

Step 2:

Subtract 3x - 2 from both sides, we get

-2

Step 3:

Again, square on both sides in order to get rid of the square root from the above equation, we get

Now we have to simplify it,

Step 4:

Now we have to solve this quadratic equation, in order to get the solution.

We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.

Reason: We get negative number in the square root.

Therefore, it has no Roots.

b) No roots

e) none of the above because the measure of angle cba is 101°