Question

If using the method of completing the square to solve the quadratic equation

Answer 1

Answer:

The number would have to be added is 2

Step-by-step explanation:

To find the form of the completing square of the quadratic function:

• Divide the coefficient of x by 2

• Square the quotient

• Subtract the numerical term from the square of the quotient

Let us do these steps with our question

∵ x² - 2x - 1 = 0

→ Divide the coefficient of x by 2

∵ The coefficient of x is -2

∴ -2 ÷ 2 = -1

→ Square the -1

∵ (-1)² = 1

→ Subtract the numerical term from 1

∵ The numerical term = -1

∵ 1 - (-1) = 1 + 1 = 2

∴ We must add 2 to -1 to get 1

→ (x² - 2x - 1 + 2) - 2 = 0

→ (x² - 2x + 1) = 2

→ (x - 1)² = 2

The number would have to be added is 2