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KatRina [158]
3 years ago
11

What number must be added to the expression below to complete the square? x² - 18x

Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

\boxed {\boxed {\sf 81}}

Step-by-step explanation:

The standard form of a quadratic is:

ax^2+bx+c

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

x^2-18x

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

(\frac{b}{2})^2

The b in the expression is -18.

(\frac{-18}{2})^2

(-9)^2= -9*-9= 81

This is the number that is added.

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