Make the given changes in the indicated examples of this section and then solve the resulting equations.

In Example 3, change the 2 to 6 and then solve the equation.

Data from Example 3

Solve the equation x − √x − 2 = 0.
By letting y = √x, we have

Since √x cannot be negative, the only solution is x = 4. This solution checks when substituted in the original equation. The graph of y₁ = x −√x √−2 is shown in the calculator display in Fig. 14.16. Note that x = 4 is the only solution shown.

y-y2= 0 (y-2)(y + 1) = 0 y = 2 or y = 1 x = 2 or x = -1 y = x x = 4 no solution