Question

Example 13 : Find the roots of the following quadratic equations, if they exist, using
the quadratic formula:
(i) 3x2 – 5x + 2 = 0 (ii) x2 + 4x + 5 = 0 (iii) 2x2 - 2/2x+1 = 0​

Answer 1

Answer:

(i) 3x²-5x+2= 0

a=3 b=-5 c=2

using Discriminate

D= b²-4ac

= (-5)² - 4(3)(2)

= 25- 24

= 1

x= -b ± √D/2a

= -(-5)±√1/6

= 5±1/6

taking positive sign

6/6

1

taking negative sign

4/6

2/3