Question

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

Answer 1

Answer:

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