Question

Solve the quadratic equation by the square root method and write the solutions in radical form. Simplify the solutions.

(3x+20)2=125

Answer 1

Explanation:

To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:

√[(3x + 20)^2] = √125

3x + 20 = ± 5

Next, we subtract 20 from both sides:

3x = -20 ± 5

Finally, we divide both sides by 3:

x = -8 or x = 3/3

So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.