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If the equation x^2+abx+c=0 and x^2+acx+...

If the equation `x^2+abx+c=0` and `x^2+acx+b=0` have a common root. Show that the quadratic equation containing the other roots is `a(b+c)x^2+(b+c)x-abc=0`

A

`x^(2)+a(b+c)x+a^(2)b=0`

B

`x^(2)-a(b+c)x+a^(2)bc=0`

C

`a(b+c)x^(2)+(b+c)x+abc=0`

D

`a(b+c)x^(2)+(b+c)x-abc=0`

Text Solution

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The correct Answer is:
B, D
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