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ytrewqmiswi
 one year ago
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ytrewqmiswi
 one year ago
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ytrewqmiswi
 one year ago
Best ResponseYou've already chosen the best response.0\[[x^2]+[2x]=3x\] []=greatest integer function\[x \in [0,2]\] find the values of x

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0by inspection one value is 0.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0If we square both sides we get x^4 + 4x^3 + 4x^2 = 9x^2

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0x^4 + 4x^3  5x^2 = 0 x^2(x^2 + 4x  5) = 0 x^2(x + 5)(x  1) = 0 x = 0, 1 , 5

ytrewqmiswi
 one year ago
Best ResponseYou've already chosen the best response.0but is it ok to square nd simplify like that when u have greatest integer function there?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0to be honest i'm not sure 1 would be greatest integer function i guess

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0[0,2] must be the domain so the greatest integer function would be 1

welshfella
 one year ago
Best ResponseYou've already chosen the best response.05 is an extraneous solution
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