(1) Solve the simultaneous equations 2x 3y 31 and x xy 104 (2) Find the exact values of the three roots of the equation 6x x 36x 10 0 (3) Find the set of values of x for which (i) 5x 1127x 15 (ii) 20 8x x 0 (4) f(x) 2x 3x 4, g(x) 5x 6 Find in terms of x (i) 5 f(x) 4g(x) (ii) f(x) g(x) (that is f(x) multiplied by g(x)) 4x 8 (5) Sketch the graph of y , x 1, giving the x 1 coordinates of the points of intersection with the coordinate axes and the equations of the asymptotes (6) Use the factor theorem to show that (x 3) is a factor of 5x 6x 31x 12

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(1) Solve the simultaneous equations 2x+3y=31 and x + xy=104. (2) Find the exact values of the three roots of the equation 6x+x-36x-10=0. (3)

(1) Solve the simultaneous equations 2x+3y=31 and x + xy=104. (2) Find the exact values of the three roots of the equation 6x+x-36x-10=0. (3) Find the set of values of x for which: (i) 5x-1127x+15 (ii) 20+8x-x

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