What is the condition for equation,x^2-bx+c=0(b&c are integers)to have two consecutive integers as it's roots?
A: b^2 -c^2=1
B: b^2 -4c=1
C: c^2 -4b^2=1
D: b=c
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let the roots be α and α+1
then.,
α+α+1=b
b=2α+1.......(1)
α=(b-1)/2
and
α(α+1)=c
from (2) and (1)
option (c)
mark as brainliest if helped
then.,
α+α+1=b
b=2α+1.......(1)
α=(b-1)/2
and
α(α+1)=c
from (2) and (1)
option (c)
mark as brainliest if helped
Anonymous:
nice bro
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