blinded by science
down to a science
get your wires crossed
light years ahead
on the same wavelength
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You could blind someone with science. This means to baffle them by using technical jargon or scientific language. You could also have something down to a science. This means that you know how to do something really well, and have done it so often that you can do it by rote. Something could be light years ahead of the others. This means that it's really far ahead!
No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.
When it comes to superstitions, there are none. Science relies on repeatable, redundant results from experiments in order to consider it valid. Superstition relies on a weakness of a believer.
what field in biology is related to studying bacteria
You can find examples of benefits derived from science at your local library. You can cite these sources directly from the exact books you use.