Question

If f(x)=3*square root of (2x-1) - 3*square root of (x-4), find x so that f(x) =6

Answer 1

haiii.. are u still there

Answer 2

yes i am

Answer 3

can you solve this problem for me

Answer 4

sure, i will explain it now... listen to me :)

Answer 5

f(x) = 6
3 sqrt(2x-1) - 3 sqrt(x-4) = 6
simplify, first. divided by 3 to both sides, giving us :
sqrt(2x-1) - sqrt(x-4) = 2

Answer 6

move side - sqrt(x-4) to right sides, it can be :
sqrt(2x-1) = sqrt(x-4) + 2

Answer 7

what is the SUM of these two x values

Answer 8

There are two such x values. What is the SUM of these two x values?

Answer 9

now, squaring to both sides :