Q1
What is the first step in solving a quadratic word problem?
ATranslate into an equation using a variable
BGuess the answer
CIgnore the problem
DSkip reading it
ICSEClass 10 (ICSE)MathematicsCh 6 · Topic 1
Solving (Simple) Problems Based on Quadratic Equations
Real-life word problems, like those involving area, speed, or numbers, can be modelled and solved using quadratic equations.
Core concept
To solve a word problem, we first translate the situation into a quadratic equation using a variable to represent the unknown value.
How it works
For example, a problem about a rectangle's area might lead to an equation like x(x+3)=40, which we solve for x.
Why it matters
After solving, we check which solutions make sense in the context (like rejecting negative lengths for a physical dimension).
Key detail
Practising these word problems builds skills in translating real situations into mathematical models and interpreting results meaningfully.
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Keywords worth remembering
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Quick notes
• Word problems translate into quadratic equations.
• A variable represents the unknown value.
• Example: rectangle area problem gives x(x+3)=40.
• We solve the resulting equation.
• We check which solutions make contextual sense.
• Negative lengths are usually rejected.
• Practice builds translation and interpretation skills.
• This connects algebra to real situations.