book Maths Puzzle Numerical Ability

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 =

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book Other Question

Use the difference-of-squares patterns to factor f the following.

(x+6)^2-(x+9)^2
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