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garri49 [273]
2 years ago
9

Maya is solving the quadratic equation by completing the square.

Mathematics
1 answer:
kvasek [131]2 years ago
6 0

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

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Simplify the expression, only odds 9-17
Elodia [21]

All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.

The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that

a(b+c) = ab+ac

So, a is multiplying the parenthesis involving b and c, and we distributed it: a multiplies both  b and c in the final result.

Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum 3x+2y, and neither 5x^2-4x exponents count.

But you can su, for example,

5x-3x = (5-3)x = 2x

or

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So, take for example exercise 9:

1.2(7x-5y) - (10y-4.3x)

We distribute the 1.2 through the first parenthesis:

1.2(7x-5y) = 1.2 \cdot 7x - 1.2 \cdot 5y = 8.4x-6y

And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):

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7 0
3 years ago
Please answer quickly<br><br> If you can please explain how to do it
Zolol [24]
9t - 3t + 4
= 6t + 4

(hence 9-3)

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3 years ago
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Answer:

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Step-by-step explanation:

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VashaNatasha [74]

Answer:

Here is the complete question:

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Step-by-step explanation:

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Step-by-step explanation:


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