solve the following 1. solve the following inequality for X 2x^2 +5x <3 2. without solving the equation...

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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.

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