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Bumek [7]
3 years ago
8

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i

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I have the question in a screengrab. Thank you, whoever helps me.
nata0808 [166]

To simplify

\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}

we need to use the fact that

\sqrt[4]{x^4}=|x|

Why the absolute value? It's because (-x)^4=(-1)^4x^4=x^4.

We start by rewriting as

\sqrt[4]{\dfrac{2^23x^6y}{2^6x^4y^5}}

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Since x\neq0, we have \dfrac xx=1, and the above reduces to

\sqrt[4]{\dfrac{3x^2y}{2^4y^4y}}

Then we pull out any 4th powers under the radical, and simplify everything we can:

\dfrac1{\sqrt[4]{2^4y^4}}\sqrt[4]{\dfrac{3x^2y}{y}}

\dfrac1{|2y|}\sqrt[4]{3x^2}

where y>0 allows us to write \dfrac yy=1, and this also means that |y|=y. So we end up with

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7 0
3 years ago
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umka21 [38]

Answer:

Step-by-step explanation:

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of Shares  Share                             (At 6% of total)        

100           $16.25          $1625         1625\times \frac{6}{100}=97.5      1625+97.5 = $1722.5      

100           $11.31            $1131           1131\times \frac{6}{100}=67.86    1131+67.86=$1198.86

40             $9.15             $366          366\times \frac{6}{100}=21.96      366+21.96=$387.96

100           $15.27           $1527        1527\times \frac{6}{100}=91.62    1527+91.62=$1618.62

100           $13.22           $1322        1322\times \frac{6}{100}=79.32   1322+79.32=$1401.32

5 0
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