Exam · Algebra

Quadratic equations

Solve each equation and type its solutions

10 questions

Using the game mechanic. No time limit.

Explanation after each answer

You’ll see why it’s correct, with the calculation.

Final score

How many you got right out of 10.

Choose your level

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What this exam is like

Quadratic equations exam: complete, incomplete, with a double root or no solution. 10 different questions every time, no timer, with the step-by-step solution.

  • Basic: x² + bx + c = 0 and incomplete equations
  • Secondary: With a other than 1 and double roots
  • Advanced: Fractional roots or no real solution

Sample questions

  1. 1. Solve the equation: x² − 7x + 12 = 0

    Show the answer

    ✅ x₁ = 3 · x₂ = 4

  2. 2. Solve the equation: −2x² + 8x = 0

    Show the answer

    ✅ x₁ = 0 · x₂ = 4

  3. 3. Solve the equation: −3x² − 7x + 20 = 0

    Show the answer

    ✅ x₁ = −4 · x₂ = 5/3

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