Final answer:
To solve the equation x' - 7x = 10 by completing the square, move the constant term to the right side, complete the square, and calculate the values of x.
Step-by-step explanation:
To solve the equation x' - 7x = 10 by completing the square:
Move the constant term to the right side of the equation: x' - 7x - 10 = 0
Complete the square on the left side by adding half the coefficient of x (which is -7/2) squared: (x - 7/2)² = 10 - 49/4
Simplify and solve for x: x - 7/2 = ±√(10 - 49/4), x = 7/2 ± √(10 - 49/4)
Calculate the values of x: x ≈ 0.50 and x ≈ 6.50