Q:

Solve each radical equation. Be sure to check your solutionsa)√(2x-3)=11b)∛(6-x)=-3

Accepted Solution

A:
Answer:a) x = 62b) x = 33Step-by-step explanation:Hi there!a) Let´s write the equation:√(2x-3) = 11Square both sides2x - 3 = 121add 3 to both sides of the equation2x = 124divide by 2 both sidesx = 62Let´s check:√(2x-3) = 11x = 62√(2(62)-3) = 11√(124-3) = 11√121 = 1111 = 11x = 62 satisfies the equationb) Let´s write the equation:∛(6 - x) = -3Cube both sides6 - x = -27subtract 6 to both sides-x = -27 - 6-x = -33divide by -1 both sidesx = 33Now, let´s check the result:∛(6 - x) = -3x = 33∛(6 - 33) = -3∛(-27) = -3-3 = -3x = 33 satisfies the equation