Question

sqrt(8 − 2x) = x − 4

Answer 1

square both sides, what u get ?

Answer 2

8-2x=x-4

Answer 3

the right side also gets squared
8-2x = (x-4)^2
now expand right side.......

Answer 4

8-2x=x^2-16?

Answer 5

(x-a)^2 = x^2-2ax+a^2

Answer 6

so, 8-2x = x^2-8x+16
now bring everything on one side

Answer 7

24-10x=x^2?

Answer 8

umm, nopes
\(8-2x = x^2-8x+16 \\
x^2-8x+2x+16-8=0 \\
x^2-6x+8=0\)
can u solve this quadratic ?

Answer 9

Would it be lame if i said i didn't know how xD

Answer 10

no, its okay.
split the middle term
\(x^2-4x-2x+8=0\)

Answer 11

\(x(x-4)-2(x-4)=0\)
can u solve ahead ?

Answer 12

yes

Answer 13

thank you

Answer 14

what u get?

Answer 15

x^2-4x-2x-8=0

Answer 16

then combine like terms?

Answer 17

why u going reverse way? u will get your question back :P
\(x(x-4)-2(x-4)=0 \\(x-4)(x-2)=0 \\ x=4 \:or\:x=2\)
got this ?

Answer 18

Idk im dumb xD lol thank you!

Answer 19

welcome ^_^