solve the following
1. solve the following inequality for X
2x^2 +5x <3
2. without solving the equation 2x^2 +5x =3, how wouldI know that it has two rational solutions.
3. 3^2(x+1) - 8.3^x+1 = 1
4. log (x+1) + log x =1
4.1. show that the above equation will have airrational root if the base is changed to 2, and a rational root ifthe base is changed to 4
5. the sum of squares of two consecutive even intigersis 1 252. find the intigers
6. suppose x, 2x+1 and 3x+2 are consecutive terms in ageometric sequence. calculate x and hence find the other two terms.how can you be sure the answer is correct?
7. The sizes of angles of a triangle is in proportion1:2:3. find the size of each angle.
