Math 10
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2.1 Nature of the roots of a quadratic equation
2.1 Nature of the roots of a quadratic equation
2.1.1 Discriminant (b
^{2}
- 4ac) of the quadratic expression ax
^{2}
+ bx + c.
2.1.2 To find the discriminant of a given quadratic equation.
2.1.3 Nature of the roots of a quadratic equation through discriminant.
2.1.4 Determine the nature of the roots of a given quadratic equation and verify the result by solving the equation
2.1.5 To determine the value of an unknown involved in a given quadratic equation when nature of its roots is given.
2.2 Cube Roots of Unity and Their Properties
2.2 Cube Roots of Unity and Their Properties
2.2.1 The cube roots of unity.
2.2.2 Recognise complex cube roots of unity as w and w
^{2}
.
2.2.3 Properties of cube roots of unity.
2.3 Roots and co-efficients of a quadratic equation
2.3 Roots and co-efficients of a quadratic equation
2.3.1 Relation between roots and co-efficients of a quadratic equation.
2.3.2 The sum and the product of the roots of a given quadratic equation without solving it
2.3.3 To find unknown values involved in a given quadratic equation.
2.4 Symmetric functions of the roots of a quadratic equation
2.4 Symmetric functions of the roots of a quadratic equation
2.4.1 Define symmetric functions of the roots of a quadratic equation
2.5 Formation of a quadratic equation
2.5 Formation of a quadratic equation
2.5.1 Find a quadratic equation from given roots and establish the formula
2.5.2 Form quadratic equations whose roots are of the type
2.6 Synthetic Division
2.6 Synthetic Division
2.6.1 Describe the synthetic division method
2.6.2 Use synthetic division to
2.7 Simultaneous equations
2.7 Simultaneous equations
2.7(i) Solve a system of two equations in two variables