Question

If a B, y are roots of x3 – 5x2 + 3 = 0 then value of |(a − 2)(B – 2)(y-2)] is​

Answer 1

Answer:

for it we have to write the identity of a+b b-a

Answer 2

✪ᴀɴsᴡᴇʀ✪

• $\boxed{(a-2)(B-2)(y-2) = 9}$

★ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ★

Since a, B, y are roots of

$\:\:\:\:\:\:x^3-5x^2+3=0$,

we can write

$\to x^3-5x^2+3$

$\:\:\:\:\:=(x-a)(x-B)(x-y)$

Putting x = 2,we get

$\to 2^3-5.2^2+3$

$\:\:\:\:\:=(2-a)(2-B)(2-y)$

$\to -(a-2)(B-2)(y-2)$

$\:\:\:\:\:=8-20+3$

$\to -(a-2)(B-2)(y-2)=-9$

$\to (a-2)(B-2)(y-2) = 9$