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IgorC [24]
3 years ago
7

Add _____ to each side x2 – 8x = 9 to complete the square.

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

16

Step-by-step explanation:

We use the completing square method to find make the expression a perfect square.

(b/2)²=ac where a and b are coefficients of x² and x respectively while c is a constant.

= (-8/2)²=16

We add 16 to both sides and the expression becomes a perfect square.

zhuklara [117]3 years ago
3 0

Answer:

The correct answer is 25

Step-by-step explanation:

It is given a quadratic equation,

x² – 8x = 9

<u>To find the number to be added</u>

The given equation be  x² – 8x = 9

here we have to add (b/2)² -  the square of half the coefficient of x,

Here b = -8

(b/2)² = (-8/2)² = -4² = 16

Add both side with 16

x² – 8x + 16  = 9 + 16

(x - 4)² = 25

(x - 4)² = 5²

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: \{ 0,4 \}

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: -  {a}^{2}  + 4a = 0

\qquad \tt \rightarrow \: - ( {a}^{2}  - 4a) = 0

\qquad \tt \rightarrow \: {a}^{2}  - 4a = 0

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or

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We can conclude :

\qquad \tt \rightarrow \:solution \: (a)  = \{ 0,4\}

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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Answer:

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Step-by-step explanation:

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