Question

If α and β are zeroes of the polynomial 2x2

-5x +3, then find the values of

(a) α+β-αβ (b) (2α+2β)/3αβ (c) ( α+β)2 αβ.​

Answer 1

Answer:

Explanation:

Given quadratic equation

2x2-5x+3

a+b= -(-5)/2= 5/2

ab=3/2

To find

1) a+b-ab

(a+b) - ab = 5/2 - 3/2= 5-3/2 = 2/2=1

2) 2a+2b/3ab

2(a+b)/3ab= 2(5/2)/3(3/2)

=10/9

3) (a+b)2ab= (5/2)2 (3/2)

=15/2

I think this is correct....

Instead of alpha and beta I used a and b...

If you know how to find alpha+ beta and alpha ×beta. ,then you can easily find the values of any questions ..and can also contruct quadratic equations when they give roots of the equation

I think it can help you friend!