Quantitative Aptitude – Quadratic Equations (Easy Method & Tricks)
Quadratic equations are used to compare two equations. You need to find values of variables and compare them.
Standard Form
ax² + bx + c = 0
How to Solve
- Factorize the equation
- Find values of x
- Compare both equations
Easy Example
Equation 1:
x² − 5x + 6 = 0
Solution:
(x − 2)(x − 3) = 0
x = 2, 3
Second Equation
Equation 2:
y² − 7y + 10 = 0
Solution:
(y − 2)(y − 5) = 0
y = 2, 5
Comparison
x values: 2, 3
y values: 2, 5
Compare each:
Some x = y ✔
Some x < y ✔
Answer: Cannot determine exact relation ✔
Common Cases
- x > y
- x < y
- x ≥ y
- Cannot be determined
Practice Questions
Q1:
x² − 9x + 20 = 0
y² − 5y + 6 = 0
Q2:
x² − 4x + 3 = 0
y² − 6y + 9 = 0
Answers
Q1: Cannot be determined
Q2: x < y
Quick Tricks
- Use factorization method
- Find both values always
- Compare carefully
Final Tip
Quadratic equations are easy if you practice factorization. Solve quickly to save time in exam.
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