If #alpha, beta# are the roots of the equation#x^2-3x+1=0# then the equation whose roots are #1/(alpha-2) , 1/ (beta-2)# will be?
Answer is : #x^2-x-1=0#
Answer is :
1 Answer
Explanation:
Knowing that, for the roots
In our case, we have,
We seek for the quadr. eqn. with roots,
We find,
Also,
Now, we know that, the quadr. eqn. having roots
Hence, the Desired Eqn., is
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