Equations
Fundamentals of Equations Algebraic and transcendental equations; If f(x) is a polynomial in x, then f(x) =0 is an algebraic equation. Example; x 7 + 5x - 2=0. If f(x) contains algebraic and non ..
Summary of Simultaneous Equations
Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or sub..
Substitution Method
Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..
(iii) Set-builder notation
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) :..
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) :..Summary Linear Equations in One Variable
Summary Linear Equations in One Variable - A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equati..
Summary Linear Equations in One Variable - A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equati..Example:
Discuss the continuity of the function f given by f(x) = |x - 1| + |x - 2| at x..
Simultaneous Equations
Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0,..
Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0,..Example:
i) 3x + 5 = 8, is satisfied by the value of x = 1. ii) x 2 - 4 = 0, is satisfied by the value of x = 2 or x = ..
Example:
2x + 3y = 5, x - 2y = 6, -6x + y =8 A pair of values of x and y that satisfy a given linear equation in two variables is said to be its soluti..
Example 1:
x + 3 = 4 x + 3 - 3 = 4 - 3 [- 3 is added to both sides of the equati..
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