← Senior Mathematics Studio

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Find the positive root.

Read the idea, work independently, then explain what changed.

TOPIC 01

Quadratic equations and functions

The full solution set is {−4,4}; the word positive restricts the requested answer.

PREDICT → MOVE → EXPLAIN

What does each coefficient change?

Before moving a slider, predict the opening, vertex and intercepts. Then compare the graph with your prediction.

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Try it. Leave your reasoning visible.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Foundation#Your turn

Find the positive root.

x2=16x^2=16

Working and explanation

BUILD THE REASONING

Hint 1
Both square roots solve the equation.
Hint 2
The question asks for the positive one.
Worked solution
  1. Factor the difference of squares.

    (x−4)(x+4)=0(x-4)(x+4)=0
  2. Select the positive root.

    x=4x=4

The positive root is 4.

Checks and common pitfalls: The full solution set is {−4,4}; the word positive restricts the requested answer.

Think first. Reveal a hint when the class is ready.

Focus on one question

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Curriculum and source notes ↗