Question: The equation x 2 + bx + c = 0 has roots 2 and 7. a. Find the value of b and the value of

The equation x2 + bx + c = 0 has roots −2 and 7.

a. Find the value of b and the value of c.

b. Using these values of b and c, find:

i. The coordinates of the vertex of the curve y = x2 + bx + c

ii. The set of values of x for which x2 + bx + c < 10.

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