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I already found L(X) = -1/2X + 1. Idk what do do after that.

\[\sqrt{1-x} \approx \frac{-1}{2}x+1\]
\[\sqrt{0.9}=\sqrt{1-0.1} \approx \frac{-1}{2}(0.1)+1\]

Srry but where did u get sqrt of 1-0.1 from if x = 0.9

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.9=1-0.1

I was trying to find out what x was

x is 0.1 since we want to approximate sqrt(0.9)

Ok so for sqrt of 0.99 it wud be \[\sqrt{0.99} = \sqrt{1- 0.01} ~ -1/2 (0.01) + 1\]

so the approximation is 0.995 right?

So what is the general formula to write approxiamtions?

Are u typing a reply? or is this a glitch?

That slope m and that number m we want to use linear approximations on aren't the same.
lol.

WOW THANK U SOO MUCH FOR SUCH A thorugh explanation :D

the star * symbol/ what does that represent in tha equation above

is it x?

Np. I like linear approximations.

Thank u :) I might need help with more just b/c sum I find hard to differentiate

k. Post em separately just in case I'm away. I have chores to do :(.

NO PROBLEM :)

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