In Example 2, change the 3x on the right to 3.

Data from Example 2

Solve the equation

Squaring both sides of the equation gives us

Checking this solution in the original equation, we have

Therefore, the solution x = 2/3 checks

We can check this solution graphically by letting

and y₂ = 3x. The calculator display is shown in Fig. 14.18. The intersection feature shows that the only x-value that the curves have in common is x = 0.6667, which agrees with the solution of x = 2/3. This also means the line y₁ is tangent to the curve of y₂.

23x13x.