Question

What number should be added to both sides of the equation to complete the square?

x2 – 6x = 5

Answer 1

take 1/2 of -6 and square it
-6/2=-3
(-3)^2=9
9 should be added
x^2-6+9=5+9
(x-3)^2=14


9 should be added

Answer 2

To complete the square of the equation, the number to add to both sides is: 9.

How to Complete the Square of an Equation?

To complete the square of an equation, the number to add to both sides should be determined by squaring half of the term that has a variable without an exponent.

Given the equation, x² - 6x = 5:

To complete the square, square half of -6

1/2 of -6 = -3

Square of -3 = 9

Therefore, to complete the square of the equation, the number to add to both sides is: 9.

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