What is the quadratic formula used to solve ax^2+bx+c=0?

x equals negative b plus or minus the square root of (b squared minus 4ac), all divided by 2a.

A rectangular park has a perimeter of 80m and an area of 400 sq m. What shape must it actually be?

Solving the resulting quadratic gives equal roots (length equals breadth equals 20m), meaning the park is actually a square, not a general rectangle.

Why must both roots of a quadratic word problem always be checked before giving a final answer?

Quadratic equations often produce two mathematically valid roots, but only one may make sense in the real-world context (for example, a negative value for time, speed, age, or length is not physically possible), so the invalid root must be rejected.

Quadratic Equations Class 10 Quiz Part 2 | Formula & Word Problems MCQs

StudyBeacon · Class 10 Mathematics

Chapter 4: Quadratic Equations - Part 2 (20 MCQs on Formula & Word Problems)

This quiz has 20 MCQs on applying the quadratic formula and setting up/solving word problems - consecutive numbers, speed-distance, area, work-time, boats, and ages. There's no fixed time limit, but a timer will track how long you take.

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