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Formula Recall Deck
Review core formulas and conditions.
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Synthesize identification, factorisation, and discriminant analysis to solve mixed-context quadratic problems.
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Review core formulas and conditions.
Self-assessment checklist.
Progressive difficulty quiz across all topics.
Which of the following equations represents a valid quadratic equation after simplification?
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was ` 90, find the number of articles produced and the cost of each article.
Let be the number of articles. Express the cost per article in terms of , set up the quadratic equation equating the total cost to 90, and solve for .
State your final numerical answers clearly.
Show the quadratic equation in standard form and how you factorised or used the formula to find x.
Explain the real-world constraint on the variable x.
Use the discriminant to validate a scenario.
Let the present age of one friend be . Write the age of the second friend in terms of . Find their ages 4 years ago, multiply them, set it to 48, and evaluate the discriminant ().
Give a simple yes or no.
Show your final standard form equation, the value of the discriminant, and explain what that value implies about real-life ages.