Question

check my answer! I will give a medal!

Answer 1

Answer choices: I got 1.25

Answer 2

I don't know if it will be "all real numbers" or "no solution". Can someone tell me the difference?

Answer 3

you cannot take the roots out due to addition inside the radical
use 1 as a value for x and see if your answer works

Answer 4

wait, you are saying that the 2 equations = each other?

Answer 5

I thought you meant the second one was your answer

Answer 6

Here is my work, I have to do it in picture format for me teacher, and list the steps, but here it is!

Answer 7

@ehuman I did the work for it, but I have to figure out if the equation has "no solutions" or "all real solutions"

Answer 8

what was your first step??

Answer 9

has no solution means no matter what value you use for x, it is not true
all real solutions mean no matter what value you use for x, they are all true

Answer 10

my first step was to solve for "x"

Answer 11

how did you do that??

Answer 12

3√3 = 3√(-2+4x)

Answer 13

then you divide both sides by 3

so now it equals: √(-2+4x) = √3

Answer 14

this is what you posted

Answer 15

Then I multiplied each side with itself,

so now i have: -2+4x=3
add 2 to both sides: 4x+5
X = 1.25

Answer 16

Yeah, I used the website Wolfram Alpha to get it into the format that I need it in. It's one of the sites my teacher allows for help

Answer 17

i am not sure what you posted in wolfram

but here is how you solve these type equations

sqrt(36x-9) = 3sqrt(4x-2) square both sides

36x-9 = 9(4x-2)
36x-9 = 36x-18 getting x on one side by subtracting 36x from both sides
gets rid of the x

no solutions