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Omni-MATH / Let a,b,c,d be real numbers such that min(20x+19,19x+20)=(ax+b)−|cx+d| for all real numbers x. Find ab+cd.

Problem

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problem

Let a,b,c,da, b, c, d be real numbers such that min(20x+19,19x+20)=(ax+b)−|cx+d|\min (20 x+19,19 x+20)=(a x+b)-|c x+d| for all real numbers xx. Find ab+cda b+c d.
Plain-text mathematical notation (without MathML)
Let a,b,c,d be real numbers such that min(20x+19,19x+20)=(ax+b)−|cx+d| for all real numbers x. Find ab+cd.
Original LaTeX notation
Let $a, b, c, d$ be real numbers such that $\min (20 x+19,19 x+20)=(a x+b)-|c x+d|$ for all real numbers $x$. Find $a b+c d$.

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Source and history

task_id
e7774b63-8aa2-50bc-b020-1d77c2aa16f4
task_key
test--e7774b63-8aa2-50bc-b020-1d77c2aa16f4
task_revision_id
1
config / split
/ test

Official source

initial import