Mathematics

Problem

In this problem we find all

k

such that

x^2 - 6x + k > 17

for all values of

x

. a. If a quadratic in

x

is greater than zero for all values of

x

, then can it have real roots? b. How can you tell whether or not a quadratic has real roots? c. Use your answers to (a) and (b) to find all values of

k

such that

x^2 - 6x + k > 17

for all values of

x

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