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Step-by-step Answer
PAGE: 425SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

The equation is square root of 4 x plus 1 end root equal 3

             (Squaring on each side and eliminate square roots)

4 x plus 1 equal 9

4 x plus 1 minus 1 equal 9 minus 1    (Subtract 1 from each side)

4 x equal 8

fraction numerator 4 x over denominator 4 end fraction equal 8 over 4               (Divide each side by 4)

begin inline style x end style equal 2

CHECK:-

To check the solution, substitute begin inline style x end style equal 2 in square root of 4 x plus 1 end root equal 3.

square root of 4 open parentheses 2 close parentheses plus 1 end root equal 3

square root of 8 plus 1 end root equal 3               (Multiply: 4 cross times 2 equal 8)

square root of 9 equal 3                    (Add: 8 plus 1 equal 9)

square root of 3 to the power of 2 end root equal 3

3 equal 3

The solution is true.

The solution begin inline style x end style equal 2.



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