Name: SAT Math Help & School Math Mastery
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#31526

systems

equations

medium

60 sec

Consider a system of equations:
$x + y = S$
$x y = P$
If $x$ and $y$ are the solutions to the quadratic equation $t^{2} - St + P = 0$ , and for a specific system, $x + y = 17$ and $x y = 72$ , which of the following quadratic equations has $x$ and $y$ as its roots?

A.

$t^{2} + 17 t + 72 = 0$

B.

$t^{2} - 17 t - 72 = 0$

C.

$t^{2} - 17 t + 72 = 0$

D.

$t^{2} + 17 t - 72 = 0$