Question

If the roots of the equation 3x2+ 5x + 2 = 0 are α and β then what is the value of α β​

Answer 1

Answer:

9/13 × 2/3 = 6/13

Step-by-step explanation:

α,β are roots of 3x

2

−5x+2=0

α+β=−

a

b

=

3

5

a=3,b=−5,c=2

αβ=

a

c

=

3

2

β

α

+

α

β

=

αβ

α

2

+β

2

=

αβ

(α+β)

2

−2αβ

=

3

2

(

3

5

)

2

−2(

3

2

)

=

3

2

9

25

−

3

4

=

3

2

9

25−12

=

9

13

×

2

3

=

6

13