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Roots of quadratic equations

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The sum of the roots of a quadratic equation of the form ax2 bx c = 0 are given by. ... The Quadratic equation below has roots in the form a bi and a - bi? ... – PowerPoint PPT presentation

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Title: Roots of quadratic equations


1
Roots of quadratic equations
  • The sum of the roots of a quadratic equation of
    the form ax2 bx c 0 are given by.

A)
B)
C)
2
Roots of quadratic equations
  • The product of the roots of a quadratic equation
    of the form ax2 bx c 0 are given by.

A)
B)
C)
3
Roots of quadratic equations
  • Find the product of the roots of the quadratic
    equation
  • 3x2 - 6x 9 0

4
Roots of quadratic equations
  • Find the sum of the roots of the quadratic
    equation
  • 3x2 - 6x 9 0

5
Roots of quadratic equations
6
Roots of quadratic equations
  • In the following equation
  • x2 - 5x 1 0
  • Find aß

7
Roots of quadratic equations
  • In the following equation
  • x2 - 5x 1 0
  • Find aß

8
Roots of quadratic equations
Can be written as
A)
B)
C)
9
Roots of quadratic equations
  • The following equation has roots a and ß
  • x2 - 5x 1 0

10
Complex numbers
  • What is the value of i2?

A) -1
B) i
C) -i
11
Complex numbers
  • What is the value of i5?

A) -1
B) i
C) -i
12
Complex numbers
  • The Quadratic equation below has roots in the
    form a bi and a - bi?
  • x2 4x 13 0
  • Complete the square and enter the values of a
    and b (in that order).

13
Complex numbers
  • Find the value of the real constants a and b such
    that
  • (a 2i)2 b 12i
  • Enter the values of a and b (in that order).

Hint Equate the real and imaginary parts.
14
Inequalities
15
Inequalities
16
Matrices
17
Matrices
18
Matrices
19
Matrices
20
Matrices
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