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Quadratic Equations


1: Determine the nature of the solutions of the equation

y^2 = 3/2y + 2/7

Choose the right answer
1: The equation has one real solution
2: the equation has two non real solutions
3: the equations has two real solutions.


2: A one compartment verticle file is to be constructed by bending the long side of an 8 in by 10 in sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?

Solution Preview

(1) By clearing denominators, this equation can be rewritten

14y^2 - 21y - 6 =0

whose solutions ...