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"I think you have two solutions," he says.
READERS who were paying attention in their maths classes may recall that quadratic equations often have two solutions, one positive and one negative.
Jane S. Hoffman, the consumer affairs commissioner, who released the results, said moviegoers have two solutions: eat before going to the movies and compare prices at theaters, even those near one another.
"If you are a small producer you have two solutions: one, leave the oranges on the trees, or two, exploit [those] weaker than you," says Nino Quaranta, a producer and founder of SosRosarno, a cooperative fighting the workers exploitation in orange harvesting.
Assume that (1.1)–(1.2) have two solutions.
Currently, if you wish to test your app before launch, you have two solutions: TestFlight or HockeyApp.
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"Right now we have zero solutions," he added.
Neal pointed out we have four solutions (the Fibonacci sequence, the non-Fibonacci solution, and their complements) to the original problem.
Thus, (3.5) only have zero solutions, that is, (a=b=c=0).
Interestingly, Apollonius' problem cannot have seven solutions, although it may have any other number of solutions from zero to eight.
The equation had two solutions, one representing the electron, another representing its opposite, a particle with negative energy and positive charge, that had never been seen or suspected before.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com