exam Maths Puzzle Numerical Ability

Find numbers a and b so that x^2+4x+9=(x+a)^2+b

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exam Other Question

f(x)= x2 - 7x + 10; find (a) f (0), (b) f (5), and (c) f (-2) Over all real numbers x, what is the maximum value
of 4 sin 3x ?