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 one year ago
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?
 one year ago
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?

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.1Did 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.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1I'm tell you to solve the following 2(x1)=x^2 or 2(x1)=x^2

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0I'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

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0getting rid of the inequalities made it a lot simpler.

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0how would you know how to replace the inequalities back into the answer?

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0analytically, I mean

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1One 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

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

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1The inequalities that come back true are the intervals you want to include in your solution.

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

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0right, 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

sinusoidal
 one year ago
Best ResponseYou've already chosen the best response.0and I was thrown off by the complex solution too
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