Any extraneous solutions from the final answer. The radical equations we are going to solve are mainly square root equations and cubic root equations. This 25 quesion worksheet includes challenge problems and asks students to perform error analysis on this topic. Solve x = 8 solution: Isolate the radical(s) and identify the index (n). √x + 2 − √x = 1. Remember to check for extraneous solutions. √2x − 1 = 3. Web radical equations are equations contain radical expressions. Steps 1 and eliminat 2 if necessary.
√2x − 1 = 3. Any extraneous solutions from the final answer. Consider the example and try to come up with the solution. Factoring, combining like terms,…) to isolate the variable. Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. The radical equations we are going to solve are mainly square root equations and cubic root equations. Solve x = 8 solution: 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8} Remember to check for extraneous solutions. =8 ( x 2(8)2 =64 64=8 8=8 The first thing we need to do to solve radical equations is to remove the radical (nth roots).
