#I need help with this question

61 messages · Page 1 of 1 (latest)

near breachBOT
runic mica
#

Get the -1 to the other side and square both sides

dapper cipher
#

I use binomial formula

#

But it didnt work

#

The answer is 2 but I cant get it

runic mica
#

Can you sned a picture of you work?

nova prism
#

add 1 to the other side to make it √3x=1+(√1+x).
Then, Square both sides so it becomes 3x=(1+√1+x)(1+√1+x)

#

now try to solve: (1+√1+x)(1+√1+x)

dapper cipher
#

The question is telling me to use binomial formula

nova prism
#

oh I'm not sure then. Sorry

quick drum
#

Didn't u post that yesterday?

runic mica
#

its equal because -1 and square root of posative 1 is -1*-1

runic mica
dapper cipher
#

There we go

#

thats the questions

quick drum
#

you can do the same approach 😂

runic mica
#

Get the 2x and sqrt(4x+1) to the other sides

dapper cipher
#

I did but I didnt get the answer

runic mica
#

Then square both sides and you are left with a quadratic

dapper cipher
#

its telling me to use binomial formula

#

I did but I didnt get the answer

runic mica
#

Yes and by squaring you use the binomial formula

dapper cipher
#

oh

runic mica
dapper cipher
#

Ok this is what I did

runic mica
#

Because then I know where you went wrong

dapper cipher
#

There we go

#

Its far off from the answer

#

The answer is 2

runic mica
#

the quadratic formulas -b+-the square root of b squared minus 4ac, all over 2a

dapper cipher
runic mica
#

I want to use quadratic >:t

runic mica
dapper cipher
#

Im not really good with square roots

#

Thats why lol

runic mica
#

It should be $7-2x=\sqrt{4x+1} \ 49-28x+4x^2=4x+1 \ 4x^2-32x+48=0 \ x^2-8x+12=0 \ (x-6)(x-2)=0 \ x=6 \lor x=2$

proud sageBOT
#

Ryanstaal2006

runic mica
#

Checking back gives that x=6 doesn't work and x=2 does

#

So the solution is x=2

dapper cipher
#

So you switch 2x

runic mica
#

Yes

dapper cipher
#

How do you know if you should switch it

#

It makes alot more sense that way

runic mica
#

Because when you have something like this with a constant, a term with x, and a square root containg x you want the square root alone so when you square you get rid of the square root and don't get another term with a square root

dapper cipher
#

So for a question like this

#

What do you do?

#

The answer is 3

#

But how do you find that

runic mica
#

Because when you have $7-\sqrt{4x+1}=2x$ and you square both sides you get $49-14\sqrt{4x+1}+4x+1=4x^2$ so you still have the square root and you don't want that

proud sageBOT
#

Ryanstaal2006

dapper cipher
runic mica
# dapper cipher

$ \sqrt{3x}-1=\sqrt{1+x} \\ 3x-2\sqrt{3x}+1=1+x \ 2x=2\sqrt{3x} \ x=\sqrt{3x}\ x^2=3x \ x=0\lor x=3$ checking gives that x=0 doesn't work and x=3 does

#

$\sqrt{3x}-1=\sqrt{1+x}
\ 3x-2\sqrt{3x}+1=1+x
\ 2x=2\sqrt{3x}
\ x=\sqrt{3x}
\ x^2=3x
\ x=0\lor x=3 $

dapper cipher
#

Its not working

runic mica