Question

if alpha and beta are the zeros of the polynomial x2-4 root 3x+3, then find the value of alpha plus beta minus alpha into beta

Answer 1

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Answer 2

The value of α+β-(αβ) is 4√3-3.

Given,

α and β are the roots of the polynomial x²-4√3x+3.

To Find,

The value of α+β-(αβ).

Solution,

The given polynomial is

x²-4√3x+3

The sum of roots is α+β = -b/a

The product of roots is αβ = c/a

where

b is the coefficient of x

a is the coefficient of x²

c is constant

Now,

α+β = -(-4√3)/1 = 4√3

αβ = 3/1 = 3

Now,

α+β-(αβ) = 4√3-3

Hence, the value of α+β-(αβ) is 4√3-3.

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