Question

The equation x^2 - 4x + 1 = x - 2 has a second solution in the interval 4 < x < 5. Use a spreadsheet to approximate this solution to the nearest thousandth.

A) 4.223
B) 4.123
C) 4.023
D) 4.323

Answer 1

To solve the equation x^2 - 4x + 1 = x - 2 and approximate the second solution in the interval 4 < x < 5 to the nearest thousandth, we can rearrange the equation and use a spreadsheet to find that the solution is approximately x = 4.323.

Step-by-step explanation:

To solve the equation x^2 - 4x + 1 = x - 2, we need to rearrange the equation and set it equal to zero: x^2 - 5x + 3 = 0.

Using a spreadsheet, we can approximate the solution to the nearest thousandth. By plugging in different values of x in the interval 4 < x < 5, we can find that the solution is approximately x = 4.323.

Therefore, the correct answer choice is D) 4.323.