Who ever sucks at Math like me come here!!!
I seen a problem I am going to do it, tell me If I am correct.... OK?
\[\sqrt{2r}=2+\sqrt{r-2}\] \[\sqrt{2r}-\sqrt{r-2}=2\] \[2r-2\sqrt{2r(r-2)}+r-2=4\] not done yet....
I am having comp probs hold on...
\[3r-2\sqrt{2r^2-4}+ r-2=4\] \[2\sqrt{2r^2-4}=3r-6\] am doing good so far?
\[8r^2-16=9r^2-32r+52\] \[-r^2+32r-68=0\] \[r^2-32r+68=0\] is this good so far? \[(r-16)^2=188\] \[r= 16 ± 2\sqrt{47}\] right?
Look what I found! @LifeIsADangerousGame
this is one of your yesterday's problems isn't it?
@SolomonZelman, mistake after squaring both sides look over your work.....
haha yes, this is my problem from yesterday
You need to square both sides Solomon
what did you get as answer there do you remember?
what I am getting is \[r^2+28r+4=0\]
can't factor
\[r^2+28=-4\] \[(r+14)^2=-4+196\] \[r=-14± 32\sqrt{3}\]
r approximately equal to 41.43 or -69.43
\[3a - 4 \le 5\]
@Victoria_Cakes20, do the following: (Step by Step) 1) add 4 to both sides 2) divide both sides by 3 do this carefully and correctly (what's your answer?)
(2r)^1/2 = 2 + (r - 2)^1/2 (2r)^1/2 - 2 = (r - 2)^1/2 Square both sides 2r - 4(2r)^1/2 + 4 = r - 2 Take the radical to the right and everything else to the left 2r + 4 - r + 2 = 4(2r)^1/2 r + 6 = 4(2r)^1/2 Square both sides r^2 + 12r + 36 = 16(2r) = 32r r^2 + 12r + 36 - 32r = 0 r^2 - 20r + 36 = 0 r^2 - 2r - 18r + 36 = 0 r(r - 2) - 18(r - 2) = 0 (r - 18)(r - 2) = 0 r = 18 or r = 2
Yes, how didn't I figured this out?
And it works perfectly for each.
Join our real-time social learning platform and learn together with your friends!