Question

If alpha, beta be the roots of the equation 2x2

-x+3=0, form an equation

whose roots are alpha − 2, beta − 2.​

Answer 1

Answer:

Let α,β,γ,δ be the eigen values of the matrix A=(0000100−201010012) then α2+β2+γ2+δ2 is ? Matrix has determinant |A|=0 Thus one eigen ...

You did most of the work! Let P(λ) be A's characteristic polynomial. Then αβ+βγ+αγ is the coefficient of λ2. To see this, write P(λ)=λ(λ−α)(λ−

Answer 2

Answer:

If alpha, beta be the roots of the equation 2x2

If alpha, beta be the roots of the equation 2x2-x+3=0, form an equation

If alpha, beta be the roots of the equation 2x2-x+3=0, form an equation whose roots are alpha − 2, beta − 2.