Adding and subtracting surds
Multiplying SurdsExample 1:
Multiplying SurdsExample 2:
Dividing surds(Rationalising)
Example 1
Multiply top and bottom by
Dividing surds(Rationalising)
Example 2
Multiply top and bottom by
Example 1.
Solving for the roots (i.e. y = 0)
Method 1: Factorising
Method 2: Quadratic Formula
Method 3: Graphics Calculator
•Equation Mode
•F2: Polynomial
•Degree: 2 (F1)
•Enter 1, -2, -3
•Solve (F1)
Equation has 2 real solutionsx = 3, -1
Method 2: Quadratic Formula
Equation has two equal solutions:x = 3
Example 3
Equation cannot be factorised.
Equation has 2 complex solutions
Real part Imaginary Part
Note: Because the coefficients are real, solutions come in
conjugate pairs i.e.
Equation has 2 imaginary solutions.
Forming quadratic equations from 2 solutions.
If solutions are