Is mathematics derived from physics or physics from math?

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MATHS Professional Educator with Best In Class Teaching Skills Providing Outstanding Academic Result

Mathematics is a tool which is used in physics to analyze & solve real life situations.
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As per my knowledge maths is backbone of physics. No subject is derived from anyone. Just some branches of physics are taking help of maths to be proved
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If the zeroes of the polynomial f(x) = x3 – 12x2 + 39x + a are in AP, find the value of a.
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