All categories

4 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

1 answer:

7 0

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

You might be interested in

HELP PLS

AlladinOne [14]

Answer:

Step-by-step explanation:

Part A: 10 + m = t

Extra money earned on Thursday = m

Total money earned = t

Part B: 2x + 2

we have no idea how many dogs silas walked

x = amount of dogs silas walked

uh this one wasn't that good

either way, hope this helped :)

5 0

3 years ago

Read 2 more answers

Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5

hoa [83]

Adding another card with value $25 would decrease the standard deviation because it is closer to the mean the the current standard deviation.

3 0

3 years ago

Read 2 more answers

which best describes your ability to calculate and describe relationships among area,perimeter and circumference

klemol [59]

Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex

7 0

3 years ago

Read 2 more answers

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Valentin [98]

9514 1404 393

Answer:

(b) x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

x +2y = 8

We can check the other choices:

x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

(y2 -y1)x -(x2 -x1)y = constant

(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

-4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

x +2y = 8

8 0

3 years ago

Read 2 more answers

A card is chosen at random from a deck of 24 cards, 4 red, 8 black, 6 blue, and 6 green.

stira [4]

The color of the card should be “Red.”

3 0

3 years ago