Question

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

Answer 1

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

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!