Question

if alpha, beta are the roots of X2 + 5x - 4 =0 then the equation whose roots are alpha + 2)3 , beta + 2/3 is​

Answer 1

Answer:

9x2 – 3x + 2 = 0

Step-by-step explanation:

α + β = – 5, αβ = 4

The roots of the given equation are (α + 2) / 3 and (β + 2) / 3.

(α + 2) / 3 + (β + 2) / 3 = [α + β + 4] / 3 and

(α + 2) / 3 + (β + 2) / 3 = [αβ + 2 (α + β) + 4] / 9

= ((α + β) + 4) / 2

= [- 5 + 4] / 3

= – 1 / 3

(α + 2) / 3 + (β + 2) / 3 = [4 + 2 (- 5) + 4] / 9 = – 2 / 9

The desired equations x2 + (1 / 3) x – (2 / 9) = 0.

9x2 – 3x + 2 = 0

Answer 2

Answer:

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