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Goshia [24]
3 years ago
14

Using quadratic equation:help me solve it

D%203" id="TexFormula1" title="10x - \frac{1}{x } = 3" alt="10x - \frac{1}{x } = 3" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

10x -  \frac{1}{x}  = 3 \\ 10x = 3 +  \frac{1}{x}  \\ 10x =  \frac{3x + 1}{x}  \\ 10x \times x = 3x + 1 \\ 10 {x}^{2}  = 3x + 1 \\ 10 {x}^{2}  - 3x - 1 = 0 \\ 10 {x}^{2}  - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\  \\ 5x + 1 = 0 \\ 5x =  - 1 \\ x =  \frac{ - 1}{5}  \\  \\ 2x - 1 = 0 \\ 2x = 1 \\ x =  \frac{1}{2}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

<em>Have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

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I need the ordered pair plz
Taya2010 [7]

Answer:

(\frac{-1}{2},-1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-6, 5)

Point (5,  -7)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute [MF]:                      (\frac{-6+5}{2},\frac{5-7}{2})
  2. Add/Subtract:                         (\frac{-1}{2},\frac{-2}{2})
  3. Divide:                                    (\frac{-1}{2},-1)
4 0
3 years ago
Which two values of x are roots of the polynomial below? x^2-3x+5
Gemiola [76]

Given:

Polynomial x^2-3x+5

To find:

The values of x.

Solution:

x^2-3x+5=0

Quadratic equation formula:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here a=1, b=-3, c=5.

Substitute the values in the formula, we get

$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}

$x=\frac{3 \pm \sqrt{9-20}}{2}

$x=\frac{3 \pm \sqrt{-11}}{2}

$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}

Option E and option F are the roots of the polynomial.

The values of x are x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}.

7 0
3 years ago
According to the table, how many people got 8 or more hours of sleep?
zalisa [80]
I believe the answer is 17.
4 0
3 years ago
What is the answer to f/3 &lt; -2
Hitman42 [59]

Answer:

1 i think

Step-by-step explanation:

hope this helps :) have a nice day :) :)

4 0
3 years ago
Your schools talent show will feature 12 solo acts and ensemble 2 acts. The show will last 90 min. The 6 solo performers judged
kicyunya [14]
A.  12*x + 2*y = 90
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To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.

B.  Here we can multiply second equation with negative 1 and add it to first equation.
6x = 30
x = 5

now we replace x in any of 2 equations to get y.
30+2y = 60
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Solo acts are 5 minutes long and ensemble acts are 15 minutes long
3 0
3 years ago
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