Question

If α, β are the roots of the equation x^2– 3x + 6 = 0.
Form equations whose roots are 2a +1, 23+1

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Answer 1

Answer:

x² - 8x + 31 = 0

Step-by-step explanation:

equations whose roots are 2α +1, 2β+1 -----►

x²-(2α+1+2β+1)x+(2α+1)(2β+1) = 0

► x²-2x(α+β+1)+2(α+β)+4αβ+1 = 0   .............(i)

Now, α, β are the roots of the equation x^2– 3x + 6 = 0

So, α+β= -(-3)=3  and αβ=6

equation (i) ----►

x² - 2x(3+1)+2(3)+4×6+1 = 0

► x² - 8x + 31 = 0