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anastassius [24]
4 years ago
9

Complete the square x^2+6x-16=0

Mathematics
2 answers:
olya-2409 [2.1K]4 years ago
7 0
X=2 and x= -8
x^2+6x-16=0
1) Move the constant (-16) to the right of the equal sign: x^2+6x = 16 (becomes positive)
2) Make the left side a perfect trinomial by doing half of 6 (3) then squaring it (9). Add 9 to the 16: x^2+6x+9= 16+9. 
3) Factor the left side, then find the sum of the right side: (x+3)^2 = 25
4) Take the square root of both sides: x+3 =(+/-) 5 (remember it's both positive & negative).
The equation will look like x+3= - 5 and x+3=5

5) solve the two equations: x= -8 and x=2

When you put the x-values back into the problem, it should come out 0. 

Hope this helps




strojnjashka [21]4 years ago
6 0
Let's solve your equation step-by-step:
x^2+6x-16=0
Factor the left side of the equation:(x-2)(x+8)=0
Set factors equal to 0: x-2=0 or x+8=0, x=2 or x=-8
Your answer is x=2 or x=-8, doesn't matter which, both are correct.
Hope this helps!:)
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27 ft²

Step-by-step explanation:

Hello!

We can use the formula given: A = \pi r^2

<h3>Solve</h3>

Plug in 3 for r and 3 for π.

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The area of the circle is 27 ft².

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3 years ago
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2<br> -6x + 5y = 1<br> 6x + 4y = -10
Luba_88 [7]

Answer:

(-1,-1)

Step-by-step explanation:

finding y

   -6x + 5y = 1

 + (6x + 4y = -10)

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                y = -1

finding x

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6 0
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Please teach me on how to answer this question. (addmath question)
arsen [322]

We know that \overline{x}=8 so:

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We want to calculate:

\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}

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3 years ago
A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se
kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

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8 0
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