ax^2 + bx + c = 0
I came across this general form of quadratic equations recently while revising my maths portion for an aptitude based exam. Then a thought struck my mind which led to a series of thoughts, No wonder I could not finish my revision before the exam.
There was a long list of properties of the above equation one of which particularly caught my eye. It said that if one of the roots of the above equation is of the form “p + iq” then there definitely exists another root of the equation and it will be of the form “p – iq”.
These roots are called as the conjugate pairs. I noticed that the earth is full of such conjugate pairs.Let us assume that our planet is a quadratic equation
ax^2 + bx + c = 0.
One point to note is that the members of a conjugate pair are opposite in nature.
The discriminant ‘D’ of the above equation is b^2-4ac. For real roots to exist, D must be greater than or equal to zero.
When D<0, there is no real root. There are so many places on the earth where life does not exist.Such places illustrate this condition.
When D=0, the roots are real and equal. A married couple is a perfect example of this. The members are together in a pair. This pair is an equal pair of roots as it is different from the conjugate pair where the members are opposite in nature. A mother-child pair can be another example.
When D>0 and roots are non-complex, then there exist two roots with no relation between them(neither equal nor opposite in nature). Of course, they are real.
When D>0 and roots are complex, then they are complex conjugates.
Day-night pair can then be considered as a conjugate root of this equation.
We have love-hate, joy-sadness, tears-laughter as some of the other conjugate pairs. Phenomena like day and night, good and bad are complex in nature as well as consist of members that are opposite in nature.
The most striking feature of the conjugate pair is that the existence of one root guarantees the existence of the other. In mathematical terms, if one of the roots is ‘p+iq’ then there has to be another root which is going to be of the form ‘p-iq’.
If we consider the god-devil pair, it can be considered as the one of the oldest conjugate pairs. Gods and devils are exactly opposite to each other. God represents the good while devil is a representative of the ‘bad’.
A tough challenge for many theists has been to prove the existence of god scientifically. Science rejects the existence of god since there is no scientific evidence about its existence. If proving god’s existence scientifically is so tough then I think people should try to prove the existence of devil. With so much negativity around us proving the devil’s existence scientifically may be a lot easier.
The big question that comes to my mind after analyzing all this is that if someone proves the existence of devil scientifically, then can we mathematically (and thus scientifically) conclude that god does exist, for they both constitute the conjugate pair ?
A joke(no offence to anyone):
Theists may argue that god is ‘a’ in the quadratic equation and since ‘a’ is never zero, god can never be zero and thus god exists!That was easy 😉