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TiliK225 [7]
3 years ago
13

Select the correct answer. Solve the equation for x in terms of c. 2/3(cx + 1/2) - 1/4 = 5/2​

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

x = 29/8c

Step-by-step explanation:

2/3(cx+1/2) - 1/4+ 1/4 = 5/2+1/4

2/3(cx+1/2) = 11/4

1/3(cx+1/2) = 11/4 / 2

cx/3 + 1/2/3 = 11/4/2

cx/3 + 1/2*3 = 11/4/2

cx/3 + 1/6 = 11/4/2

cx/3 + 1/6 = 11/4*2

cx/3 + 1/6 = 11/8

cx/3 = 11/8 - 1/6

cx/3 = 29/24

cx = 29/24 * 3

x = 29/8 / c

x = 29/8c

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Given :

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  • B = {x : x² + 3x - 4 = 0 }

To find :

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Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

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<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

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  • 2x( x + 2) -1( x + 2 ) = 0
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<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
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<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
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