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Mrrafil [7]
3 years ago
14

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer:

1/x-2

Step-by-step explanation:

welcome ;P

skelet666 [1.2K]3 years ago
5 0
Hey!


The first step to solving the rest of this problem would be to distribute the parenthesis in -( 5x - 10 ).

<em>Original Equation :</em>
-( 5x - 10 )

<em>New Equation {Changed by Distributing the Parenthesis} :</em>
- ( 5x ) - ( -10 )

Now we'll simplify the equation.

<em>Old Equation :</em>
- ( 5x ) - ( -10 )

<em>New Equation {Simplified} :</em>
-5x + 10

Okay, now that that part of the equation has been changed, we can add the simplified part to our entire equation.

<em>New Equation :</em>
5x - 9 - 5x + 10

Next we need to group like terms.

<em>Old Equation :</em>
5x - 9 - 5x + 10

<em>New Equation {Changed by Grouping Like Terms} :</em>
5x - 5x - 9 + 10

And now we add the similar elements.

<em>Old Equation :</em>
5x - 5x - 9 + 10

<em>New Equation {Changed by Grouping Like Terms} :</em>
-9 + 10

And finally we simply add the numbers.

<em>Old Equation :</em>
-9 + 10

<em>Solution {Old Equation Solved} :</em>
1

<em>So, this means that 5x - 9 - ( 5x - 10 ) is</em>  1.

Hope this helps!


- Lindsey Frazier ♥
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The amounts of household waste generated in a region during two years were 23,400,000 tons and 48,100,000 tons. What was the tot
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The first step to do is to calculate first the total household waste generate for the two years. That is:

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Now, to write either a very big number or a very small number in a form of scientific notation simply means to write it in a decimal form such as: 12.5 * 10^10

 

Now to write 71,500,000 in scientific notation, the decimal form is 7.15, however we still need to find out the * 10^n factor. The value of n depends on the number of places the decimal point was moved. If the movement was from right to left, the value of n is positive and if the movement was from right to left, the value of n is negative. Since the decimal point was moved by 7 places, hence the complete scientific notation is:

 

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How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
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<h2><u>QUADRATIC EQUATION</u></h2>

<h2>\mathbb{ANSWER:}</h2>
  • \bold{x = 0.8 \: } \:  \sf \:  {\color{grey}or} \:  \:  \:  \bold{ x=  \frac{4}{5} } \\

  • \bold{x =  - 6}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

\bold{Given \:  Equation: \color{brown} 5x²+26x-24=0}

First, add 24 to both sides.

  • \bold{5x²+26x-24 - \purple{ 24} = 0 +  \purple{24}}

  • \bold{ \implies \: 5x²+26x = 24 }

Since the coefficient of 5x² is 5, divide both sides by 5.

  • \bold{ \frac{5 {x}^{2} + 26x }{5} =  \frac{24}{5}  } \\

  • \bold{ \implies \:  {x}^{2} +  \frac{26}{5} x =  \frac{24}{5}  } \\

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

  • \bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  \purple{169}}{ \purple{25}}=  \frac{24}{5}    +  \frac{ \purple{169}}{ \purple{25}} } \\

  • \bold{ \implies \:\bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  169}{ {25}}=  \frac{289}{25}  } } \\

Factor the left side.

  • \bold{(x +  \frac{13}{5} ) {}^{2} =  \frac{289}{25}  } \\

Take square root.

  • \bold{x +  \frac{13}{5} = ±  \:  \sqrt{ \frac{289}{25}  }} \\

Then, add (-13)/5 to both sides.

  • \bold{x +  \frac{13}{5} +  \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \:      \sqrt{ \frac{289}{25}}} \\

  • \bold{  \: x =  \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\

  • \implies \: \underline{ \boxed{ \bold{   \frac{4}{5}  } \sf  \:  \: or \:  \:  \bold{ x =  - 6}}} \\

_______________❖_______________

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