Question

Answer the questions about this quadratic equation shown below.

(x−3)25=20


(3 points)
What should be the first step when solving the quadratic equation above?

Which of the following is one of the solutions to the quadratic equation above?

Which of the following is the other solution to the quadratic equation above?

Skip to navigation

Answer 1

Interpreting the equation as 5(x − 3)^2 = 20:

- First step: divide both sides by 5 to isolate the squared term: (x − 3)^2 = 4.
- Take square roots: x − 3 = ±2.
- Solutions: x = 3 + 2 = 5 and x = 3 − 2 = 1.

So one solution is 5 and the other is 1.