Question

How to find a quadratic equation with zeroes 2 and 1/2

Answer 1

Step-by-step explanation:

Hey there!

Let alpha and beta be the two zeroes of p(x).

= alpha = 2 and beta = 1/2

Now, s=alpha+beta= 2+1/2

= 5/2

Also, p=alpha*beta= 2*1/2

= 1

And we know that

p(x) = x²-sx+p

Therefore, p(x) = x²- 5/2x+1

Taking LCM,

(2x²-5x+2)/2

Hence, the equation becomes

2x²-5x+1

Hope it helped!

Jai Hind!!!