Book Maths Puzzle Quadratic Equations

Question regarding quadratic equations in intermediate algebra:

Determine the dimensions of a rectangle with a perimeter of 20 that encloses the greatest area. The perimeter is

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Book Other Question

Two consecutive integers are added together. The square of their sum is 361. What are the integers? Part question on quadratic equations in intermediate algebra:

A quadratic equation can have zero, one or two solutions (zeroes) in the study of quadratic formulas and the discriminant.

1. What about an equation of order 3 like: ax^3+bx^2+cx+d=0

2. What is the minimum number of solutions or zeroes? What is the maximum? Can there be two?