Let a and b be the roots of the equation x^2+x+1=0. The equation whose roots are a^19, b^7 is.A.x^2-x-1=0.B. x^2-x+1=0.C. x^2+x-1=0.D.x^2+x+1=0.
ruchir , 11 Years ago
Grade
2 Answers
Sher Mohammad
Last Activity: 11 Years ago
a=x1, b=x2
ab=1, a+b=-1
,
=1
=-1
from above analysis , x^2+x+1 is the correct answer
Sher Mohammad
B.Tech, IIT Delhi
Nikhil Kumar
Last Activity: 11 Years ago
X^3-1=0
=>
(x-1)(x^2+x+1)=0
=>
x=1,w,w^2
totally in question we have x^2+x+1=0 means a=w, and b=w^2. ...(1)
And a^19=w^19=w^18.w=w
similarly b^7=w^2.
Which is equal to (1) hence d
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