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Omni-MATH / Find the roots of the equation (x−a)(x−b)=(x−c)(x−d), if you know that a+d=b+c=2015 and a≠c (numbers a,b,c,d are not given).

Problem

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problem

Find the roots of the equation (x−a)(x−b)=(x−c)(x−d)(x-a)(x-b)=(x-c)(x-d), if you know that a+d=b+c=2015a+d=b+c=2015 and a≠ca \ne c (numbers a,b,c,da, b, c, d are not given).
Plain-text mathematical notation (without MathML)
Find the roots of the equation  (x−a)(x−b)=(x−c)(x−d), if you know that a+d=b+c=2015 and a≠c (numbers a,b,c,d are not given).
Original LaTeX notation
Find the roots of the equation  $(x-a)(x-b)=(x-c)(x-d)$, if you know that $a+d=b+c=2015$ and $a \ne c$ (numbers $a, b, c, d$ are not given).

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Source and history

task_id
ad011d14-ec27-5df2-99c3-16463f6ea43d
task_key
test--ad011d14-ec27-5df2-99c3-16463f6ea43d
task_revision_id
1
config / split
/ test

Official source

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