Question

question

Answer 1

\[x=2+\sqrt{3x-8}\]

Answer 2

the question asks what the smallest solution interval is and the answer is (2,4)

Answer 3

but idk how to do it

Answer 4

@jim_thompson5910

Answer 5

first move the 2 over (subtract 2 from both sides)

Answer 6

then square both sides. You'll have to use the FOIL rule or the box method

Answer 7

yep i did that and i got x=4 x=3

Answer 8

so the interval they give you is (2,4) ?

Answer 9

it is multiple choice
A)(-2,0)
B)(0,2)
C)(2,4)
D)(4,6)

Answer 10

it asks The smallest solution of (the equation) lies in the interval:

Answer 11

ah I see now

Answer 12

you got x = 3 or x = 4. Those are the correct solutions to the original equation

x = 3 is the smaller of the two solutions

The question is: which of the intervals listed has x = 3 in it?

Answer 13

example: A)(-2,0) is NOT the answer because 3 is NOT in the interval from -2 to 0 excluding the endpoints

Answer 14

ohhh i see i know that (2,4) is the correct answer but, if an answer choice was (2,3) would that also not be right because it doesn't have 4?

Answer 15

it wouldn't be correct because while 3 is the endpoint, the endpoint is not included

Answer 16

k got it thank you!!

Answer 17

you're welcome