book Maths Puzzle Numerical Ability

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
4

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book Other Question

How should $9000 be divided into two accounts, paying 5.5% and 8% interest, so that the total interest after one year equals $630? Identify the shape of the graph, transform it into standard form, and sketch the graph.
x^2 + y^2 + 2x - 10y + 10 = 0