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MATH / Find all positive integer values of c such that the equation x²−7x+c=0 only has roots that are real and rational. Express them in decreasing order, separated by commas.

Problem

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problem

Find all positive integer values of

c

such that the equation

x^2-7x+c=0

only has roots that are real and rational. Express them in decreasing order, separated by commas.

Plain-text mathematical notation (without MathML)

Find all positive integer values of c such that the equation x²−7x+c=0 only has roots that are real and rational. Express them in decreasing order, separated by commas.

Original LaTeX notation

Find all positive integer values of $c$ such that the equation $x^2-7x+c=0$ only has roots that are real and rational. Express them in decreasing order, separated by commas.

level

Level 5

type

Algebra

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task_id: b4b46491-47b2-5ac6-8ba9-55d79f1a1746
task_key: algebra--test--b4b46491-47b2-5ac6-8ba9-55d79f1a1746
task_revision_id: 2
config / split: algebra / test

Official source

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