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sinusoidal
Group Title
2x1 < x^2
answers are: x < 1  sqrt(3) or x > 1+sqrt(3)
I'm having trouble coming up with these solutions. Could someone help me with the steps?
 10 months ago
 10 months ago
sinusoidal Group Title
2x1 < x^2 answers are: x < 1  sqrt(3) or x > 1+sqrt(3) I'm having trouble coming up with these solutions. Could someone help me with the steps?
 10 months ago
 10 months ago

This Question is Open

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Did you try looking at 2x1=x^2 first When we have f(x)=a, we try to solve this by doing f(x)=a of f(x)=a Now keep in mind that a needs to be positive or 0. Guess what? x^2 is a positive number or 0.
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
I'm tell you to solve the following 2(x1)=x^2 or 2(x1)=x^2
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
I've got it now. I thought that I tried that before, but I think I was just making so many mistakes that I became too sloppy and frustrated
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
thanks
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
getting rid of the inequalities made it a lot simpler.
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
how would you know how to replace the inequalities back into the answer?
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
analytically, I mean
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
One of the equations you solve, you will get a complex answer. The other equation you solve, will give you two real solutions. You should see x=1+sqrt(3) or x=1sqrt(3). You can test intervals to see where we have 2x1<x^2 dw:1380904061968:dw
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
dw:1380904086865:dw 2101<10^2 True/False 201<0^2 True/False 2101<10^2 True/False
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
The inequalities that come back true are the intervals you want to include in your solution.
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
The first inequality, I went ahead and said 10^2 instead of (10)^2 since 10^2 is the same result at (10)^2.
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
right, I get it now. I wasn't thinking about getting rid of the inequalities and just replacing them back at the end. it makes the process a lot simpler
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
and I was thrown off by the complex solution too
 10 months ago

sinusoidal Group TitleBest ResponseYou've already chosen the best response.0
thanks
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Np. Have fun. :)
 10 months ago
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