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The quadratic equations x^(2)-6x+a=0 and...

The quadratic equations `x^(2)-6x+a=0 and x^(2)-cx +6=0` have one root in common. The other roots of the first and second equations are integers in the ratio `4:3`. Then the common root is

A

1

B

4

C

3

D

2

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If the two equations x^(2)-cx +d=0 and x^(2)-ax+b=0 have one common root and the second has equal roots, then 2(b+d) =

    A
    ac
    B
    `-ac`
    C
    0
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    0
    B
    1
    C
    `-1`
    D
    2

  • The equations x^( 5) + ax + 1 = 0 and x^( 6) + ax^(2) + 1 = 0 have a common root. Then a is equal to

    A
    `-4`
    B
    `-2`
    C
    `-3`
    D
    `-1`

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