CONTENT

• Derivative of the Roots of the General Form of Quadratic Equation.
• Using the Formular Methods to solve Quadratic Equations
• Sum and Product of quadratic roots.

EVALUATION

Suppose the general quadratic equation is Dy² + Ey + F = 0

Using the method of completing the square, derive the roots of this equation

EVALUATION

If α and β are the roots of the equation 2x² – 11x + 5 = 0, find the value of

1. α – β

• 1

∝+1

+ 1

𝛽+1

GENERAL EVALUATION

Solve the following quadratic equations:

1. 63z = 49 + 18z²

2. 8s² + 14s = 15

Solve the following using formula method:

3.   12y² + y – 35 = 0

4.   h² – 15h + 54 = 0

READING ASSIGNMENT

New General Mathematics SS Bk2 pages 41-42 ,Ex 3e Nos 19 and 20 page 42.

WEEKEND ASSIGNMENT

If α and β are the roots of the equation 2x² – 7x – 3 = 0 find the value of: 1.   α  + β  (a) ²/3             (b) ⁷/2    (c) ²/5      (d) ⁵/3

2.   α  β  (a) ^-3/2  (b) ²/3     (c) ³/2 (d) – ²/3

3.   α β²  + α² β   (a) ²¹/4    (b) ⁴/21 (c) ^{– 4}/21 (d) ^-21/4 Solve the following equation using the formula method. 4. 6p² – 2p – 7 = 0

5. 3 = 8q – 2q^2.

THEORY

1. Solve the equation 2x² + 6x + 1 = 0 using the formula method
2. If α and β are the roots of the equation 3x² -9x + 2 = 0, find the values of

1. α β² + α²β
   1. α² – αβ + β²