In Example 5, change the 4 under the second radical to 14.

Data from Example 5

Solve the equation

This is most easily solved by first isolating one of the radicals by placing the other radical on the right side of the equation. We then square both sides of the resulting equation.

Now, isolating the radical on one side of the equation and squaring again, we have

This solution checks. We note again that in squaring

we do not simply square 5 and

We must square the entire expression.

Transcribed Image Text:

√x + 1 + √√√x - 4 = 5.