Lesson 7 · Word problems related to quadratic equation

Word problems related to quadratic equation Presentation

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Mathematics, Class 10 · Unit 7

Word problems related to quadratic equation

Ages, numbers, digits · Triangles, land, money

By the end of this lesson you can

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Write a condition given in words as an equation

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Solve it by splitting the middle term

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Reject roots that do not fit the story

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Solve age, digit, triangle, land and money problems

Sumitra 12, sister 18: when is the product 280?

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Now: 12 × 18 = 216

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1 year later: 13 × 19 = 247

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2 years later: 14 × 20 = 280

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Algebra: (12 + x)(18 + x) = 280

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Presenter notes: Today we turn stories into quadratic equations, solve them, and learn to choose the root that actually fits the story.