Solve Quadratic Function Game

Solve Quadratic Function Game
In this game, You are given a quadratic function h(x) and a target value. Your goal is to find the two values of x (the roots) that make the equation true. Scroll down for a detailed explanation.
 

 

How to Play the Solve Quadratic Function Game

1. Set the Equation to Zero
   In the game, you’ll see something like h(x) = x² + 5x + 10 and a target like h(x) = 4. You cannot factor this yet. You must subtract the target from both sides so that the right side becomes 0.
   Math: x² + 5x + 10 = 4 → x² + 5x + 6 = 02.
   

2. Factor the Quadratic
   Now, find two numbers that:
   Multiply to the constant (c)Add up to the middle coefficient (b)
   

3. Solve for x (The Zero Product Property)
   If you factored the equation into (x + 2)(x + 3) = 0, then for the whole thing to be zero, either (x + 2) or (x + 3) must be zero.
   If x + 2 = 0, then x = -2
   If x + 3 = 0, then x = -3
   

How to Enter Your Answer?
The game requires both solutions.
Type them into the box separated by a comma or a space (e.g., -2, -3).

Tip: Don’t forget to flip the signs of your factors! If your factor is (x - 5), your root is 5.

Example
Display: h(x) = x² - x - 18 | Target: h(x) = 2

1. Move the Target: Subtract 2 from -18. Now you have x² - x - 20 = 0.
   
2. Factor: What multiplies to -20 and adds to -1? (Hint: -5 and 4).
   
3. Solve: The factors are (x - 5)(x + 4), so the roots are 5 and -4.
   
4. Input: 5, -4
   

This video gives a clear, step-by-step approach to solve a quadratic function.

• Show Video

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