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natulia [17]
3 years ago
11

Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0

Mathematics
2 answers:
Artemon [7]3 years ago
8 0

Answer:

x₁ = <u>5 + √11</u>

         2

x₂ = <u>5 - √11</u>

          2

Step-by-step explanation:

quadratic formula is given by

x = <u>-b ±√b² - 4ac</u>

             2a

a = 2, b = -10, c = 7

x = <u>-(-10) ± √-10² - 4*2*7</u>

                  2*2

x = <u>10 ± √100 - 56</u>

           4  

x = <u>10 ± √44 </u>   = <u>2(5 ± √11)</u>  = <u>5 ± √11</u>

             4                   4               2

x₁ = <u>5 + √11</u>

           2

x₂ = <u>5 - √11</u>

           2

sladkih [1.3K]3 years ago
7 0

Answer:X=11/10

Step-by-step explanation:

2x2-10x+7=0

<u><em>4</em></u>-10x+<u><em>7</em></u>=0

11-10x=0

-10x= -11

Divide both side by -10

-10x/-10.  -11/-10

Answer= 11/10

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aleksklad [387]

Answer:

i think -14.5

Step-by-step explanation:

8 0
3 years ago
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Find the equation of the line passing through the points (5,21) and (-5,-29)
Assoli18 [71]

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29   50
5 + 5       10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute  y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

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25 -4 is 21

b = -4

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3 0
2 years ago
Calculate simple interest :
Elodia [21]

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

5 0
3 years ago
The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr
ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

brainly.com/question/3457976

#SPJ4

6 0
2 years ago
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Find the area of a square if each side is 11 centimeters long
valentinak56 [21]
The area of that square would be 121 cm^2 because :

area of square = length(width)
                         =  11(11) 
                         = 121
Then you also have to square the units(cm). So the final answer would be 121 cm^2                        (the " ^ "represents the exponentiation) 
7 0
3 years ago
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