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#35673

quadratic equations

equations

medium

90 sec

The solutions to $x^{2} - 4 x + 2 = 0$ are $r$ and $s$ , where $r < s$ . The solutions to $x^{2} - 6 x + 7 = 0$ are $t$ and $u$ , where $t < u$ . The solutions to $x^{2} - 10 x + c = 0$ , where $c$ is a constant, are $r + t$ and $s + u$ . What is the value of $c$ ?

• 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.