Question #ee69b

1 Answer
Tazwar Sikder
Jul 4, 2017

#1. - x^(2) - 8 x = 10#

#2. x + 1 = 3 x^(3) - x^(2)#

#3. x^(5) - 2 x^(2) + 9 = 0#

#4. x^(4) - 12 x + 3 x^(6) = 1#

Explanation:

The question asks us to arrange the equations in terms of how many solutions they have.

For each question, we need to consider the leading term, i.e. the term that contains the variable of the highest power.

The power of the leading term indicates how many solutions the equation will have.

For example, the first equation #x + 1 = 3 x^(3) - x^(2)# has #3# solutions because the leading term is #3 x^(3)#.

Now let's arrange the equations from least to greatest number of solutions:

#1. - x^(2) - 8 x = 10#

#2. x + 1 = 3 x^(3) - x^(2)#

#3. x^(5) - 2 x^(2) + 9 = 0#

#4. x^(4) - 12 x + 3 x^(6) = 1#

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