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What number needs to be added to both sides of the equation in order to complete the square? x2−18x=17

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x^2−18x + __ =17 + __

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sqdancefan

Answer:

81

Explanation:

The square (x -a)² is ...

... (x -a)² = x² -2ax +a²

You can see the constant term (a²) is the square of half the x-coefficient ...

... a² = (-2a/2)²

The square of half the x-coefficient in your equation is ...

... (-18/2)² = (-9)² = 81

So, your equation is ...

[tex]x^{2}-18x+\boxed{81}=17+\boxed{81}[/tex]

Answer:

81

Step-by-step explanation:

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