Saturday, 28 April 2018

Algebraic identites

What is an identity?

Consider a sentence, 5x + 3 = 2x + 15. If we put various values of x in the equations, you will find that LHS(left hand side) will be equal to RHS(right hand side) only when x = 4. Such a mathematical sentence containing an unknown variable x which is satisfied only for a particular value of x and for no other value is called an equation. The number, that is the value of x which satisfies an equation is called the solution of the equation.
Such a mathematical sentence containing an unknown variable x which is satisfied for all values of x is called an identity.

There are 5 main equations which serves as formulae in many cases:

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