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MATH / Compute the number of ordered pairs (a,b) of integers such that the polynomials x²−ax+24 and x²−bx+36 have one root in common.

Problem

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problem

Compute the number of ordered pairs (a,b)(a,b) of integers such that the polynomials x2−ax+24x^2 - ax + 24 and x2−bx+36x^2 - bx + 36 have one root in common.
Plain-text mathematical notation (without MathML)
Compute the number of ordered pairs (a,b) of integers such that the polynomials x²−ax+24 and x²−bx+36 have one root in common.
Original LaTeX notation
Compute the number of ordered pairs $(a,b)$ of integers such that the polynomials $x^2 - ax + 24$ and $x^2 - bx + 36$ have one root in common.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
5bd712f4-fed3-5062-8ba7-fe907f853fba
task_key
intermediate~5falgebra--test--5bd712f4-fed3-5062-8ba7-fe907f853fba
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import