Larger root wins 🏆

$$x^2 - 5x + 6 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 4x + 3 = 0$$

Give the larger root.

🎭 Two secret numbers $a$ and $b$ are the roots of
$$x^2 - 7x + 11 = 0$$

Without ever finding them, compute $a^2 + b^2$.

Larger root wins 🏆

$$x^2 - x = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 4x - 5 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 7x + 6 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 2x - 3 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 16 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 + 4x - 5 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 + x - 30 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 3x - 4 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 + x - 20 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 25 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 4 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 8x + 15 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - x - 30 = 0$$

Give the larger root.

Solve it ✏️
$$x^2 + 2x + 1 = 0$$
How much x?

Larger root wins 🏆

$$x^2 + 2x = 0$$

Give the larger root.