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xxTIMURxx [149]
3 years ago
13

Write the expression(4x-2)·6(2x+7) in the standard form of a quadratic expression, ax²+bx+c

Mathematics
2 answers:
navik [9.2K]3 years ago
7 0
(4x-2)*6(2x+7)=(4x-2)*(12x+42) I can do this because of distribution, which I will use again in the following: (4x-2)*(12x+42)=48x^2-24x+168x-84=48x^2+144-84

This is the answer.
marysya [2.9K]3 years ago
6 0
(4x - 2)(6(2x + 7)) = 0
(4x - 2)(6(2x) + 6(7)) = 0
(4x - 2)(12x + 42) = 0
48x² + 168x - 24x - 84 = 0
48x² + 144x - 84 = 0
x = <u>-144 +/- √(144² - 4(48)(-84))</u>
                        2(48)
x = <u>-144 +/- √(20,736 - 16,128)</u>
                           96
x = <u>-144 +/- √(4,608)
</u>                  96<u>
</u>x = <u>-144 +/- 67.88</u><u>
</u>                96
x = -1.5 +/- 0.707083
x = -1.5 + 0.707083      x = -1.5 - 0.707083
x = -0.792917               x = -2.207083
<u />
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zalisa [80]

Answer:

\bold{Cubic \: eq {}^{n}  = x {}^{3}  - ( \alpha  +  \beta  +  \gamma )x + ( \alpha  \beta  +  \beta  \gamma  +  \gamma  \alpha )x - ( \alpha  \beta  \gamma )} \\

Sum of zeroes ,

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sum of product of zeroes taken two at a time ,

\alpha  \beta  +  \beta  \gamma  +   \gamma  \alpha  = ( - 3)(4) + (4)(6) + (6)( - 3) \\  =  >  - 12 + 24  - 18 \\  =  >  - 6

product of zeroes ,

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Substituting the values in the equation above , we get

\bold{x {}^{3}  - ( \alpha  +  \beta  +  \gamma )x {}^{2}  + ( \alpha  \beta  +  \beta  \gamma  +  \gamma  \alpha )x - ( \alpha  \beta  \gamma ) }\\\\\bold{  ⇢ x {}^{3}  - 7x {}^{2}  + ( - 6)x - ( - 72)} \\\\\bold\blue{  ⇢x {}^{3}  - 7x {}^{2}  - 6x + 72}

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3 years ago
Which expression is not equivalent to 1/343?
ohaa [14]
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4 years ago
Here are two simultaneous equations
jeka94

Step-by-step explanation:

Given -

Equations

  1. x + y = 8
  2. x - y = 3

To Find -

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Now,

adding both equation, we get -

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5.5 + y = 8

y = 8 - 5.5

<h3>y = 2.5</h3>

Hence,

(5.5, 2.5) pair of coordinates satisfies both equations.

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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