Question

Darrell tried to solve the equation x2 + 10x = -9 by completing the square.


His work and some of his answers are shown below. Each red blank, marked with a letter A, should be filled in with the same number.


Each blue blank, marked with the letter B, should be filled in with the same expression.


Each green blank, marked with the letter C, should be filled in with the same number.



Enter the number, expression, and number that fill in blanks A, B, and C correctly. Separate your answers with commas, like this: 42, 3x-4, 53

Answer 1

@jim_thompson5910

Answer 2

can you capture a screenshot of the full problem?

Answer 3

<div class="questioncontentcontainer">
<div data-bind="html: QuestionText"><p align="left"><span>Darrell tried to solve the equation <i>x</i>² + 10<i>x</i> = -9 by completing the square. </span></p><p align="left"><span></span></p><p align="left"><span>His work and some of his answers are shown below. Each <span style="color:#ff0000">red</span> blank, marked with a letter <span style="color:#ff0000">A</span>, should be filled in with the same number. </span></p><p align="left"><span></span></p><p align="left"><span>Each <span style="color:#0000ff">blue</span> blank, marked with the letter <span style="color:#0000ff">B</span>, should be filled in with the same expression. </span></p><p align="left"><span></span></p><p align="left"><span>Each <span style="color:#009933">green</span> blank, marked with the letter <span style="color:#009933">C</span>, should be filled in with the same number. </span></p><p align="left"><span></span></p><p align="left"><span></span></p><p align="left"><span>Enter the number, expression, and number that fill in blanks <span style="color:#ff0000">A</span>, <span style="color:#0000ff">B</span>, and <span style="color:#009933">C</span> correctly. Separate your answers with commas, like this: <span style="color:#ff0000">42</span>, <span style="color:#0000ff">3x-4</span>, <span style="color:#009933">53</span></span></p><p align="left"><span><span style="color:#009933"></span></span></p></div>
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Answer 4

go to the blue link

Answer 5

ok that works, next time you can follow steps like this

http://www.take-a-screenshot.org/

and not need to resort to a complicated link like that

Answer 6

lol ok

Answer 7

anyways, what we do is this

the x coordinate is 10, take half of 10 to get _____ (fill in the blank)

Answer 8

thars where i get confused

Answer 9

what is half of 10?

or 10 divided by 2?

Answer 10

5

Answer 11

now square that to get ???

Answer 12

2.24

Answer 13

square not square root

Answer 14

to square a number, you just multiply it with itself

Answer 15

25

Answer 16

so that will go in slot A

Answer 17

because you add 25 to both sides to help complete the square

Answer 18

x^2 + 10x + 25 then factors to (x+5)^2 since it is a perfect square

you can check that by expanding out (x+5)^2 and you will get x^2 + 10x + 25

Answer 19

so thts the equation

Answer 20

\[\Large x^2 + 10x = -9\]

\[\Large x^2 + 10x+{\color{red}{25}} = -9+{\color{red}{25}}\]

\[\Large (x+5)^2 = 16\]

Answer 21

i get it thank u

Answer 22

yw