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marissa [1.9K]
3 years ago
12

X2 +x − 4 = 0

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

  • a=1
  • b=1
  • c=-4
  • x =  (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

  x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

  x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

  x = (-1 ±√17)/2

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Answer:

The answer to your question is:

Step-by-step explanation:

12.-

                x² - 6x = 5

                x² - 6x + (3)² = 5 + (3)²

               x² - 6x + 9 = 5 + 9

               (x - 3)² = 14

13.-           x² - 6x = 12

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               x² - 6x + 9 = 12 + 9

              (x - 3)² = 21

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             x1 = √21 + 3                     x2 = -√21 + 3

               x1 = 7.58                           x2 = -1.58

14.-           2x² - 24x = - 20            Divide by 2

                x² - 12 x = -10

               x² - 12x + (6)² = - 10 + (6)²

               x² - 12x + 36 = - 10 + 36

              ( x - 6) ² = 26

               x - 6 = ±√26

x1 = √26 + 6                                 x2 = -√26 + 6

x1 = 11.1                                          x2 = 0.9

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3 years ago
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Answer:

Step-by-step explanation:

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6 0
3 years ago
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goblinko [34]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Y=2/3(x-5)^2
Anvisha [2.4K]

Answer:

  see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

<u>y=2/3(x-5)^2</u>:  A, D

<u>y=1/2(x-5)^2</u>:  A, D

<u>y=3/4(x-5)^2</u>:  A, D

<u>y=-4(x-5)^2</u>:  B, D

8 0
3 years ago
Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6
kap26 [50]
The first thing we will do for this case is to define the following variable:
 x = real number.
 We then have the following sentence:
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 Answer:
 
An equation for the sentence is:
 
9x + 5 = 6
6 0
3 years ago
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