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IF ALPHA AND BETA ARE THE ROOTS OF THE EQUATION X^2+X+1=0, THEN THE EQUATION WHOSE ROOTS ARE ALPHA^19, BETA^7 IS_______

IF ALPHA AND BETA ARE THE ROOTS OF THE EQUATION X^2+X+1=0,  THEN THE EQUATION WHOSE ROOTS ARE ALPHA^19, BETA^7 IS_______

Grade:11

1 Answers

abhivyakti
11 Points
5 years ago
x2 +  x+1=0(answer)
the roots of x2 +  x+1=0 are both imaginary ꙍ, ꙍ2.
Alpha19= ꙍ19= ꙍ
Beta7= ꙍ14= ꙍ2
Therefore, the equation whose roots are ꙍ, ꙍ2 is x2+x+1=0
 

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