6. (b) Determine the value of m for which the roots of
are (i) equal, (ii) real, (iii) imaginary.
6. (c) Form the quadratic equation whose roots are
and
7. A page is to have a margin of 1 inch, and is to contain 35 square inches of printing. How large must the page be, if the length is to exceed the width by 2 inches?
8. (a) In an arithmetical progression the sum of the first six terms is 261, and the sum of the first nine terms is 297. Find the common difference.