Question

Which of the following are solutions to the equation (5x + 1)² = 7? Check all that apply.

1) x = -√7
2) x = √7
3) x = -1
4) x = 1

Answer 1

To solve the equation (5x + 1)² = 7, take the square root of both sides and solve for x.

Step-by-step explanation:

The equation is (5x + 1)² = 7. To solve this equation, we need to take the square root of both sides. Taking the square root of (5x + 1)² gives us 5x + 1. Taking the square root of 7 gives us √7.

So, we have 5x + 1 = √7. Now we can solve for x. Subtract 1 from both sides to get 5x = √7 - 1. Finally, divide both sides by 5 to get the solution: x = (√7 - 1)/5.

Therefore, the solution to the equation (5x + 1)² = 7 is x = (√7 - 1)/5.