Mathematics 23 Online
OpenStudy (anonymous):

Had me baffled for a while 2^x + 2^(4-x) = 17

OpenStudy (anonymous):

$2^x+\frac{2^4}{2^x}=17$ then multiply by $2^x$ and get a quadratic equation i think

OpenStudy (anonymous):

I am getting x=0,4

OpenStudy (anonymous):

Go on then...

OpenStudy (anonymous):

I know u can "see2 it's 0 and 4, what are the steps...

OpenStudy (anonymous):

$2^x = a$

OpenStudy (anonymous):

and Now try solving quadratic way

OpenStudy (anonymous):

I eventually hit on2^x + 2^(x-4) = 2^4 + 2^0 but I'm not convinced...

OpenStudy (anonymous):

$a^2 - 17a +16=0$

OpenStudy (anonymous):

get $2^{2x}+16=17\times 2^x$ or $2^{2x}-17\times 2^x+16=0$ a quadratic in $2^x$ solve $z^2-17z+16=0$ get $z=1, z = 16$ so $2^x=1\iff x=0$ or $2^x=16\iff x=4$

OpenStudy (anonymous):

TV time, just thought it was amusing and no-one was answering it....

Latest Questions
Diorq24: Got my first tattoo of my moms name.
4 hours ago 5 Replies 1 Medal
KayleeJhones: I'm learning to play piano, how did I do??
6 hours ago 2 Replies 1 Medal
TRAPLIKEJAYLEN: DIS Y ION FW PPL NOW BRO
17 hours ago 6 Replies 0 Medals
Twaylor: how do i set my pfp
1 day ago 0 Replies 0 Medals
Twaylor: how dis
1 day ago 2 Replies 0 Medals