Question

two quadratic equation having both common in between them​

Answer 1

Answer:

a1/a2=b1/b2=c1/c2

Step-by-step explanation:

α,β are roots of

a1x²+b1x+c1=0

and

a2x²+b2x+c2=0

so α+β = -b1/a1 = -b2/a2

b1/a1 = b2/a2

or a1/a2 = b1/b2-------(1)

also αβ= c1/a1=c2/a2

c1/a1=c2/a2)

or a1/a2 = c1/c2------------(2

From (1) by (2)

a1/a2=b1/b2=c1/c2

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