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High school math (9–12)

The Study Studio, Socratic mode, graphs and instant summaries — solving a quadratic equation the way a great teacher would: by asking the right questions.

7 min read Students · Parents · Educators Video in 1 language
2:06 · narrated · captions

The Study Studio

From grade 9 the lobby becomes the Study Studio, with all eight subjects (including Exam Prep) and goals built for older students:

GoalWhat it does
ExplainClear, complete teaching of a topic.
Practice / QuizQuestions at your level, marked with explanations.
CheckShow your working — the tutor finds the first mistake.
Time crunchExam tomorrow? The essentials, fast.
SocraticThe tutor guides you with questions so you discover the method.
ReviewFeedback on written explanations and proofs.

  1. Open the Study Studio

    You'll see the Ask box, subjects, goals, recommendations and recent sessions.

Walkthrough: a quadratic, Socratic style

Solve x² − 5x + 6 = 0Grades 9–10
  1. Find the pair(−2) × (−3) = 6, (−2) + (−3) = −5Numbers that multiply to c and add to b.
  2. Factor(x − 2)(x − 3) = 0Rewrite the quadratic as a product.
  3. Zero productx − 2 = 0 or x − 3 = 0If a product is zero, one factor must be zero.
Answer: x = 2 or x = 3
Check: 2² − 5(2) + 6 = 0 ✓ 3² − 5(3) + 6 = 0 ✓

  1. Type the equation

    Use ^ for powers — x^2 means x squared. The tutor shows it as proper math.

    Try it“Solve x^2 - 5x + 6 = 0”

  2. Choose the Socratic goal

    Instead of Start, pick Socratic. The session opens straight away in question-led mode.

  3. Answer the tutor's guiding question

    The tutor asks: which two numbers multiply to 6 and add to −5? That one question is the key to factoring.

  4. Factor and finish

    Maya finds −2 and −3, so (x − 2)(x − 3) = 0. The tutor confirms and has her finish: x = 2 or x = 3.

    Try it“-2 and -3! So (x - 2)(x - 3) = 0?”

  5. See it on a graph

    Ask for a graph: the parabola crosses the x-axis at exactly 2 and 3 — the algebra and the picture agree.

    Try it“Can you graph y = x^2 - 5x + 6 so I can see the solutions?”

  6. Summarize for revision

    Tap Summarize this to turn the session into short revision notes.

Tips

Keep learning

Math topics

Calculus

Differentiate a polynomial with the power rule, find the slope at a point, graph the tangent line, then integrate — rules, meaning and pictures together.

Math topics

Statistics & probability

Find the mean, median and mode of a data set, see it as a chart, and work out a two-dice probability — every count shown.

Ways to learn

Exam prep

Two ways to get test-ready: a quick quiz session from the lobby, and the full Exam Prep area with exams, timed mocks, gap analysis and study plans.

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