book Maths Puzzle Numerical Ability

Let the roots of the equation 3x2 -(p-4)x-(2p+1)=0 be alpha and beta. find the quadratic equation whose roots are apha+2 and beta+2

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book Other Question

If a and b are the roots of the equation x + 1 = tx(1-tx) and if t1 and t2 are two values of t determined from the relation a/b + b/a = r-2, show that t1sq./t2sq.+ t2sq./t1sq.+ 2 = By solving the following quadratics deduce two rules for the sum and product of the roots of a quadratic using a, b, c.

1. x2 - 5x + 6 = 0
2. x2 = -6x + 7
3. x2 + 12x + -27
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