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Grade 11Algebra

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_______

Profile image of Santhosh Prasad.S
10 Years agoGrade 11
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1 Answer

Profile image of abhivyakti
8 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