In this lesson, we will learn how to solve word problems by forming and solving quadratic equations.

Students will be able to

Q1:

The sum of a positive number 𝑥 and twice its square is 253. Find the positive number 𝑥.

Q2:

A farmer has 100 m of fencing and wants to fence off the largest possible rectangular field he can. Find the area of the largest rectangular field possible that can be fenced off with 100 m of fencing.

Q3:

A ball is thrown from a building and its height ℎ in meters 𝑡 seconds after being thrown follows the quadratic equation ℎ=−𝑡+𝑏𝑡+𝑐. The building is 40 m tall. The maximum height of the ball off the ground is 44 m and this height is reached after 2 s.

Find the values of 𝑏 and 𝑐.

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