Question

Help with Algebra 2??

Answer 1

yes, what do you need help?

Answer 2

\(\large\color{slate}{ x=\sqrt{3x+10} }\) to start, raise each side to the second power.

Answer 3

\(\large\color{slate}{ \color{red}{(}x\color{red}{)^2}=\color{red}{(}\sqrt{3x+10}\color{red}{)^2} }\)

Answer 4

tell me, what do you get after doing this?

Answer 5

x^2=3x+10?

Answer 6

yes.

Answer 7

Now, I would subtract 3x, and then 10, from both sides.
Then I would factor both sides.

Answer 8

I mean factor the left side, not both sides. Sorry.

Answer 9

\(\large\color{slate}{ x^2=3x+10 }\)

will do a shortcut, subtracting the entire \(\large\color{slate}{ \color{blue}{3x+10} }\) from both sides,

\(\large\color{slate}{ x^2\color{blue}{-3x-10}=3x+10 \color{blue}{-3x-10}}\)

Answer 10

what do you get after doing this?

Answer 11

lost?`

Answer 12

nello, if you are lost please reply, don't hesitate....

Answer 13

yeah... sorry

Answer 14

Sure, sure.... no need for being sorry.

Lets see, do you understand how we got till \(\large\color{slate}{ x^2=3x+10 }\) ?

Answer 15

we squared each side?

Answer 16

yes, exactly!

Answer 17

Now, lets go ahead and subtract 3x from both sides.

\(\large\color{slate}{ x^2\color{blue}{-3x}=3x+10 \color{blue}{-3x}}\)

can you tell me what we get after doing this?

Answer 18

now what do I do? should I get the x on one side?

Answer 19

tell me what cancels on the right side (if anything) ?

Answer 20

the 10

Answer 21

the 10 stands there

Answer 22

\(\large\color{slate}{ x^2\color{blue}{-3x}=\color{black}{\cancel {3x}}+10 \color{blue}{\cancel{-3x}}}\)

Answer 23

then the 3?

Answer 24

3x, you mean?

Answer 25

yeah

Answer 26

so now its x^-3x=10

Answer 27

x^2

Answer 28

yes, \(\large\color{slate}{ x^2-3x=10 }\)

Answer 29

\(\large\color{slate}{ x^2-3x=10 }\)

subtract 10 from both sides, you get?

\(\large\color{slate}{ x^2-3x\color{blue}{-10}=10 \color{blue}{-10}}\)

Answer 30

If I can get 10 to the left too I can factor them and the answer will be 5 and -2?

Answer 31

yes, very good x=-2 or x=5.

Answer 32

but we must check them

Answer 33

\(\large\color{slate}{ x=\sqrt{3x+10}}\)

True/False:

1. \(\large\color{slate}{ 5=\sqrt{3(5)+10}}\)

2. \(\large\color{slate}{ -2=\sqrt{3(-2)+10}}\)

Answer 34

can you answer this question?