Name: SAT Math Help & School Math Mastery
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#39408

equations

quadratic equations

medium

90 sec

Calculator OK

In the given system of equations, $k$ is an integer constant.
$y = 10$
$y = - x^{2} + 6 x + k$
If the system has no real solutions, what is the greatest possible integer value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.