Solve the following radical equation. Be sure to check your solutions √ (3x+5) - 2=-1.

The solution of the equation is x = - 4/3

Step-by-step explanation:

Hi there!

Let's solve the equation:

√ (3x+5) - 2 = - 1

add 2 to both sides of the equation

√ (3x+5) = - 1 + 2

√ (3x+5) = 1

square both sides

3x + 5 = 1

subtract 5 to both sides of the equation

3x = - 4

divide by 3 both sides

x = - 4/3

Now let's chek the result:

√ (3x+5) - 2 = - 1

x = - 4/3

√ (3 (-4/3) + 5) - 2 = - 1

√ (-4 + 5) - 2 = - 1

√1 - 2 = - 1

1 - 2 = - 1

-1 = - 1

x = - 4/3 satisfy the equation

Have a nice day!