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

Source: https://1600.now/hard/64

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64

$f(x) = x^2 - 3x - 4$  
$g(x) = x^2 - 9x + 14$  
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 $h(x)=x^2+ax+b$, what is the value of $a+b$?