if the quadratic equation ax^2+bx+c =0(a,b,c€real) and x^2+4x+5=0 have a common root, then a,b,c must satisfy the relation
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Explanation:
for this problem we will use the property of the sum and product of roots of a quadratic
that is
if α & β are the roots of
px2+qx+r=0
then
αβ=−qp
αβ=rp
_______________________________
x2+ax+b=0−−−(1)
x2+cx+d=0−−−(2)
let the common root be α
for eqn(1)
α+α=−a
⇒α=−a2
& α2=b
for the eqn(2) let the second root be β
then
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