Question

if alpha and beta are the zeroes of polynomial 2x^2-4x+5,find the value of alpha^2+beta^2​

Answer 1

Answer:

hey mate!

Step-by-step explanation:

==========================

let alpha=a

and beta=b

============================

a+b=2

a.b=5/2

(a+b)²=4

a²+b²+2ab=4

=>a²+b²=4-2(5/2)

=>a²+b²=-1

thanks!

ans!

mark as brainliest!

Answer 2

Answer :

2x² - 4x + 5

Here, a = 2, b = - 4, c = 5

Sum of zeroes = - b/a

α + β = - (-4)/2

α + β = 2

Product of zeroes = c/a

αβ = 5/2

Now, we know that ;

α² + β² = (α + β)² - 2αβ

⇒ α² + β² = (2)² - 2 * 5/2

⇒ α² + β² = 4 - 5

⇒ α² + β² = - 1

Hence, α² + β² = - 1.