Question

If α and β are the roots of the quadratic equation 2 $x^2$+6x-5=0 , then find (α+β) and (α×β). ( 1 mark)

• A. -3, -5/2
• B. 3, -5/3
• C. 2, -5/2
• D. -3, 5/3

Answer 1

The correct option is A -3, -5/2

Comparing 2 $x^2$+6x-5=0 with a$x^2$+bx+c=0

We get, a=2, b=6, c=-5

Now, α+β= - b/a

⇒α+β= - 6/2 = -3

And (α×β)= c/a

⇒(α×β)= (-5)/2