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

[tex]\[ x^2 - 6x = 5 \][/tex]

Sagot :

GinnyAnsweridn
To complete the square for the equation \( x^2 - 6x = 5 \), follow these steps:

1. Identify the coefficient of \( x \): Here, the coefficient of \( x \) is \(-6\).

2. Divide the coefficient of \( x \) by 2:
[tex]\[ -6 \div 2 = -3 \][/tex]

3. Square the result from step 2:
[tex]\[ (-3)^2 = 9 \][/tex]

4. Add this squared value to both sides of the equation:
[tex]\[ x^2 - 6x + 9 = 5 + 9 \][/tex]

Thus, the number that should be added to both sides of the equation to complete the square is [tex]\( 9 \)[/tex].
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