Hi J, If possible in the following posts could you also explain about the treatment when
1) coefficient of x is not 1
2) How to find the minimum value of such equations

Hi J, If possible in the following posts could you also explain about the treatment when
1) coefficient of x is not 1
2) How to find the minimum value of such equations

1) I will talk about when it is -1 is a later post. If it is 5 instead of 1, that won’t change the roots and the regions where positive or negative, just alter the shape to make it steeper. And as pointed out earlier, we are NOT trying to plot the curve accurately, only figure out where it will be positive and where negative.

2) In general that would be out of scope from a CAT POV so I won’t be going into maxima/minima of those (anyway in most cases all you would be able to find is a local extremum as it tends to go towards infinity globally)

Hi…I have a doubt….since this must not include the roots as in the given question have <0….shouldn't the solution contain the square brasis instead of curved….as in [x,y] which indicates only values between x and y instead of (x,y) which indicates all values in range including x and y?

Hi… shouldn’t the solution contain square brackets instead of curved ones? as in [x,y] where it only takes values between x and y… since question have <0 as condition where in we have to exclude the roots

Hi J, If possible in the following posts could you also explain about the treatment when

1) coefficient of x is not 1

2) How to find the minimum value of such equations

Hi J, If possible in the following posts could you also explain about the treatment when

1) coefficient of x is not 1

2) How to find the minimum value of such equations

1) I will talk about when it is -1 is a later post. If it is 5 instead of 1, that won’t change the roots and the regions where positive or negative, just alter the shape to make it steeper. And as pointed out earlier, we are NOT trying to plot the curve accurately, only figure out where it will be positive and where negative.

2) In general that would be out of scope from a CAT POV so I won’t be going into maxima/minima of those (anyway in most cases all you would be able to find is a local extremum as it tends to go towards infinity globally)

regards

J

Hi…I have a doubt….since this must not include the roots as in the given question have <0….shouldn't the solution contain the square brasis instead of curved….as in [x,y] which indicates only values between x and y instead of (x,y) which indicates all values in range including x and y?

It is the reverse, [these brackets] include the endpoints while (these brackets) do not.

regards

J

Hi… shouldn’t the solution contain square brackets instead of curved ones? as in [x,y] where it only takes values between x and y… since question have <0 as condition where in we have to exclude the roots

Curved brackets do not include the endpoints, square do.

regards

J