Search by Topic

Resources tagged with Roots of equations and coefficients similar to Roots and Coefficients:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 4 results

Broad Topics > Advanced Algebra > Roots of equations and coefficients

problem icon

Roots and Coefficients

Stage: 5 Challenge Level: Challenge Level:1

If xyz = 1 and x+y+z =1/x + 1/y + 1/z show that at least one of these numbers must be 1. Now for the complexity! When are the other numbers real and when are they complex?

problem icon

Fibonacci Fashion

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

What have Fibonacci numbers to do with solutions of the quadratic equation x^2 - x - 1 = 0 ?

problem icon

Janusz Asked

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

In y = ax +b when are a, -b/a, b in arithmetic progression. The polynomial y = ax^2 + bx + c has roots r1 and r2. Can a, r1, b, r2 and c be in arithmetic progression?

problem icon

Agile Algebra

Stage: 5 Challenge Level: Challenge Level:1

Observe symmetries and engage the power of substitution to solve complicated equations.