Hard SAT Math Question 64 — Video Explanation | 1600.now

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f (x) = x^{2} - 3 x - 4

g (x) = x^{2} - 9 x + 14

The function

f (x)

has two solutions of

q

and

r

, where

q

is positive. The function

g (x)

has two solutions of

p

and

m

, where

m > p

. If the function

h (x)

has solutions of

(q - p)

and

(m + r)

and can be rewritten as

h (x) = x^{2} + a x + b

, what is the value of

a + b

?

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