1.

Alpha and beta are the zeros of 2 X square + 5 x minus 9 then the value of alpha and beta​

Answer»

ANSWER:

Step-by-step x2-5x+k

Here, a=1, b=-5 and c=k

Now, α+ β = -b/a= -(-5)/1= 5

α*β = c/a= k/7= k

Now,α - β =1

Squaring both SIDES, we get,

(α - β)2=12

⇒ α2 + β2 - 2αβ = 1

⇒ (α2 + β2 + 2αβ) - 4αβ = 1

⇒ (α +β)2 -4αβ =1

⇒ (5)2-4K=1

⇒ -4k= 7-25

⇒ -4k= -24

⇒ k=6 So the value of k is 6:


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