Question: 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

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


Data from Example 5

Solve the equation

x + 1 + x - 4 = 5.


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.

x + 1 + x - 4 = 5.

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