Find the roots of the following equations.

a) 4x+9=34

b) (x-4) (x+2) = 0

c) 2x^2-6x+4=0

A. 4x + 9 = 34

- 9 - 9

4x = 25

4 4

x = 6.25

B. (x - 4) (x + 2) = 0

x - 4 = 0 U x + 2 = 0

+ 4 + 4 - 2 - 2

x = 4 x = - 2

C. 2x² - 6x + 4 = 0

2 (x²) - 2 (3x) + 2 (2) = 0

2 (x² - 3x + 2) = 0

2 2

x² - 3x + 2 = 0

x = - (-3) + / - √ ((-3) ² - 4 (1) (2))

2 (1)

x = 3 + / - √ (9 - 8)

2

x = 3 + / - √ (1)

2

x = 3 + / - 1

2

x = 3 + 1 U x = 3 - 1

2 2

x = 4 x = 2

2 2

x = 2 x = 1