Question

(x-4)-5(x-4)^1/2=6 solve for x.

Answer 1

LET (x-1)^1/2 =y

Answer 2

Then solve for y

Answer 3

Does it help?

Answer 4

not really...

Answer 5

let \[x-4=m\]
the equation becomes
\[\left( m \right) - 5m^\frac{ 1 }{ 2 } = 6\]

on squaring

\[m^2 - 5m = 6\]

Answer 6

therefore
\[m=2 , m=2\]

Answer 7

\[m=2 , m=3\] sry
now as
\[x-4 = m\]
we get
\[x-4=2 & x-4=3\]

Answer 8

therefore x=6 and x =7

Answer 9

i understand.. thank you!

Answer 10

wheres my medal :D

Answer 11

gotcha!!

Answer 12

m^2 - 5m = 36
m^2 - 5m - 36 = 0
(m - 9)(m + 4) = 0
m = 9 and m = -4

Answer 13

one thing that was missed was the 6. it wasnt squared.

Answer 14

ya figured it out @franciscanmonk
@bevandre sorry

Answer 15

its all good.

Answer 16

thanks i just needed someone to get me started...but i get it now:)

Answer 17

If the problem expression is:\[(x - 4) - 5*\left(\sqrt{x-4}\right) = 6 \]then x = 40