Taking a Square Root to Solve an Equation Solve: What are the number(s) whose square is 9? Find the x that makes x 7 equal POSITIVE 3 In order to solve for x, you have to UNDO the squared first (i. e. square root) The square of 3 AND -3 is 9 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.
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 Simplify any square roots Find the x that makes x 3 equal a POSITIVE EXACT answers Is also an acceptable EXACT answer Find the x that makes x 3 equal a NEGATIVE Are acceptable APPROXIMATE answers
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.
Taking a Square Root to Solve an Equation Solve: What are the number(s) whose square is 0? Since +0 and -0 are the same number. There is only ONE Answer. In order to solve for x, you have to UNDO the squared first (i. e. square root) The square of 0 AND -0 is 0