Radical Equations and Extraneous Roots Answers

Solve:To solve this equation, first X add 2 tomultiply by 3 on square ✔ cube both sides.

x =✔ 8.250.751.752.25no real solutions

Check the answers in the original equation. The extraneous solution is x = ⇒ -3.

Study the steps shown to solve the given equation.30 – 2x = x2 – 6x + 9 0 = x2 – 4x – 21 0 = (x + 3)(x – 7)Based on the above work, possible solutions of the equation are –7 and –3X –7 and 3✔ –3 and 73 and 7.

The value 14 is an extraneous solution, so the equation has no real solutions.Complete the sentence below.You can tell that the equation has no real solutions from the second line, because taking the square root results in the ⇒ principal, positive root only.

Complete the work shown to find a possible solution of the equation. A possible solution of the equation is ⇒ 14.