1. Taking a Square Root to Solve an Equation

2. Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s) whose square is 9? The square of 3 AND -3 is 9 Find the x that makes x-7 equal POSITIVE 3 Find the x that makes x-7 equal NEGATIVE 3 NOTE: In general, this method only works when there is ONE variable in the equation.

3. Taking a Square Root to Solve an Equation Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s) whose square is 12? Do not forget the square of a positive and negative number is positive Find the x that makes x-3 equal a POSITIVE Find the x that makes x-3 equal a NEGATIVE Simplify any square roots Is also an acceptable EXACT answer Are acceptable APPROXIMATE answers EXACT answers

4. Taking a Square Root to Solve an Equation Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s) whose square is -11? NOT POSSIBLE The square of a number can not be negative. This equation has NO SOLUTIONS.

5. Taking a Square Root to Solve an Equation Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s) whose square is 0? The square of 0 AND -0 is 0 Since +0 and -0 are the same number. There is only ONE Answer.