1.

Given that 2 is a root of the equation `3x^2-p(x+1)=0` and that the equation `px^2-qx+9=0` has equal roots, find the values of p and q

Answer» 1)`3x^2-p(x+1)=0`
x=2 is a root
`3(2)^2-p(2+1)=0`
`12-3p=0`
`p=4`
`px^2-qx+9=0`
`4x^2-qx+9=0`
`D=0`
`b^2-4ac=0`
`q^2=4*4*9`
`q=2*2*3`
`q=pm12`.


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