Question

Solve x - 8x = 3 by completing the square. Which is the solution set of the equation?

A) (4 - 19, 4 + 19)
B) (4 - 11, 4 + 11i)
C) (4 - √8, 4 + √8)
D) (4 - √3, 4 + √3)

Answer 1

To solve the equation x - 8x = 3 by completing the square, follow the steps: combine like terms, add the square of half the coefficient of x to both sides, rearrange the equation, combine like terms, subtract 16, divide by -7. The solution set is x = -3/7.

Step-by-step explanation:

To solve the equation x - 8x = 3 by completing the square, follow these steps:

1. Combine like terms to get -7x = 3.
2. Add the square of half the coefficient of x to both sides of the equation: x - 8x + (-8/2)^2 = 3 + (-8/2)^2.
3. Simplify: x - 8x + 16 = 3 + 16.
4. Rearrange the equation: x + 16 - 8x = 3 + 16.
5. Combine like terms: -7x + 16 = 19.
6. Subtract 16 from both sides: -7x = 3.
7. Divide both sides by -7: x = 3/-7.

The solution set of the equation is x = -3/7.