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

a) x = 62

b) x = 33

Step-by-step explanation:

Hi there!

a) Let's write the equation:

√ (2x-3) = 11

Square both sides

2x - 3 = 121

add 3 to both sides of the equation

2x = 124

divide by 2 both sides

x = 62

Let's check:

√ (2x-3) = 11

x = 62

√ (2 (62) - 3) = 11

√ (124-3) = 11

√121 = 11

11 = 11

x = 62 satisfies the equation

b) Let's write the equation:

∛ (6 - x) = - 3

Cube both sides

6 - x = - 27

subtract 6 to both sides

-x = - 27 - 6

-x = - 33

divide by - 1 both sides

x = 33

Now, let's check the result:

∛ (6 - x) = - 3

x = 33

∛ (6 - 33) = - 3

∛ (-27) = - 3

-3 = - 3

x = 33 satisfies the equation