If α,β are roots of the equation x2 - 5x + 6 = 0 then find the equation whose roots are α+ 3 and β+3

x2−5x+6=0 gives x=2,x=3Let α=2,β=3Hence, the required equation isx2−Sx+P=0x2−11x+30=0

If α,β are roots of the equation x2 - 5x + 6 = 0 then find the equation whose roots are α+ 3 and β+3

x2−5x+6=0 gives x=2,x=3Let α=2,β=3Hence, the required equation isx2−Sx+P=0x2−11x+30=0

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If $α, β$ are roots of the equation x² - 5x + 6 = 0 then find the equation whose roots are $α$ + 3 and $β + 3$

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x³ - 11x + 30 = 0

x² + 11x + 30 = 0

x² - 11x + 30 = 0

x² - 11x - 30 = 0

answer is D.

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Detailed Solution

$x^{2} - 5 x + 6 = 0$ gives x=2,x=3

Let $α = 2, β = 3$

Hence, the required equation is

$\begin{array}{l} x^{2} - S x + P = 0 \\ x^{2} - 11 x + 30 = 0 \end{array}$

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If α,β are roots of the equation x2 - 5x + 6 = 0 then find the equation whose roots are α+ 3 and β+3

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If $α, β$ are roots of the equation x² - 5x + 6 = 0 then find the equation whose roots are $α$ + 3 and $β + 3$