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Quadratic Inequalities

1.Solve in real numbers:

kvadraticke_nerovnice1
Solution:
kvadraticke_nerovnice1r

2.Solve in real numbers:

kvadraticke_nerovnice2
Solution:
kvadraticke_nerovnice2r

3.Solve in real numbers:

kvadraticke_nerovnice3
Solution:
kvadraticke_nerovnice3r

4.Find all „a“ so that the following equation would have a possitive solution:

kvadraticke_nerovnice4
Solution:
kvadraticke_nerovnice4r

5.Find all „m“ real numbers so that the following equation would have a root greater or equal 4:

kvadraticke_nerovnice5
Solution:
kvadraticke_nerovnice5r

6.For which „a“ would both the roots of the set of equations be negative ( x<0; y<0 ) ?

kvadraticke_nerovnice6

kvadraticke_nerovnice-6-2

Solution:
kvadraticke_nerovnice6r


7. Solve in negative integers:

kvadraticke-nerovnice-7z.gif

Solution:

kvadraticke-nerovnice-7r.gif


8.Solve in real numbers:

kvadraticke-nerovnice-8z.gif

Solution:

kvadraticke-nerovnice-8r.gif


9.Solve in real numbers:

kvadraticke-nerovnice-9z.gif

Solution:

kvadraticke-nerovnice-9r.gif


10. Which „x“ fits the inequality:

kvadraticke-nerovnice-10z.gif

Solution:

kvadraticke-nerovnice-10r.gif

For the inequality, x = 1.