Today is our topic of discussion Indicial Equation .
Indicial Equation
The equation in which the unknown variable exists as an index/ exponent is called an Indicial or Exponential equation. 2^x= 8, 16^x = 4^x+2, 2^x+1-2^x-8 = 0 etc. are indicial equations, where x is an unknown variable. To solve indicial equations, the following property of indices is often used:
If a > 0, a 1, then a = am if and only if x = m. That is why both sides of an equation are expressed in powers of the same number.
System of quadratic equations with two variables
The method of solution of the system of two linear equations with two variables or the system of two equations of which one is linear and the other is quadratic with two variables have been discussed in the Secondary Algebra Book. Here we will discuss the solution methodology of some systems involving two such quadratic equations. It may be mentioned that if x and y are two variables of any system, then (x, y) = (a, b) is a solution of this system when both sides of the two equations will be equal if we substitute a for x and b for y.
Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables.
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