Solution of an equation
The determination of all the roots of a given equation is called the solution of the equatio..
Nature of the roots
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational and distinct..
Nature of the roots
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational and distinct. iv) D < 0 i..
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational and distinct. iv) D < 0 i..Note:
1. i) Upto step 6 in the I Method and upto Step 7 in the II Method, gives the process of completing the square. ii) The quadratic equation has two roots. (i.e., there are two values for x) is b 2 - 4ac. This is usually denoted by D or D. D determines the nature of the roo..
1. i) Upto step 6 in the I Method and upto Step 7 in the II Method, gives the process of completing the square. ii) The quadratic equation has two roots. (i.e., there are two values for x) is b 2 - 4ac. This is usually denoted by D or D. D determines the nature of the roo..Nature of the roots Nature of the roots - Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational and di..
Nature of the roots - Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational and di..Ordered Pairs and Cartesian Product
In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line is called the Y-a..
In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line is called the Y-a..Ordered Pairs and Cartesian Product Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes...
Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes...Linear Equations in One Variable
Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of three kil..
Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of three kil..Linear Equations in One Variable Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of three kil..
Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of three kil..Algebraic identity
An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..
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