How quadratic equation formed?

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Where does a quadratic equation come from? We often use $ax^2 + bx + c = 0$, but how is it formed? Is there any real life problem which can be converted into an equation like this and solved?

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Real life Example is product of two consecutive natural no.is $6$ $$x(x+1)=6$$ $$x^2-x-6=0$$