SOLUTION: Dear Sir/ Madam,
Good day! kindly help me in answering this mathematical problem:
Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c
Thank you very much for your help
Question 766202: Dear Sir/ Madam,
Good day! kindly help me in answering this mathematical problem:
Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c
Thank you very much for your help! Found 2 solutions by ramkikk66, MathTherapy:Answer by ramkikk66(644) (Show Source):
You can put this solution on YOUR website! The roots of the quadratic equation a*x^2 + b^x + c = 0 are
1)
and
2)
If they are reciprocals of each other
Cross multiplying:
Dividing both sides by 4*a
We can do because we know that a cannot be 0 for a quadratic)
Hope you got it. Let me know if it is not clear :)
You can put this solution on YOUR website!
Dear Sir/ Madam,
Good day! kindly help me in answering this mathematical problem:
Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c
Thank you very much for your help!
Let root 1 = . Since the roots are reciprocals, then root 2 =
Product of roots: . Product of roots, based on the fact that they are reciprocals: , or 1
(
