SOLUTION: A pleasant day! please help in this one. find a quadratic equation with integral coefficients whose roots are the reciprocals of the roots of: x^2 + 2x

SOLUTION: A pleasant day! please help in this one. find a quadratic equation with integral coefficients whose roots are the reciprocals of the roots of: x^2 + 2x - 15 = 0 Thank you

Question 640401: A pleasant day! please help in this one.
find a quadratic equation with integral coefficients whose roots are the reciprocals of the roots of:
x^2 + 2x - 15 = 0
Thank you very much!!!
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
x^2 + 2x - 15 = 0
or x^2 + 5x-3x - 15 = 0
or x[x+5]-3[x+5]=0
or [x+5][x-3]=0
or x=-5 or 3
new roots are -1/5 & 1/3
so the eqn is x^2-x[-1/5+1/3]+{-1/5}*1/3
or x^2-2x/15-1/15=0
or 15x^2-2x-1=0
ans
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