Q1
What is the quadratic formula?
Ax=(-b±√(b²-4ac))÷2a
Bx=-b÷2a
Cx=b²-4ac
Dx=a+b+c
SSCClass 10 (SSC)Mathematics - Algebra (बीजगणित)Ch 2 · Topic 2
Practice and Revision - Quadratic Equations
Let us practise and revise what we learned about quadratic equations. A quadratic equation, in the form ax²+bx+c=0, can be solved using fact
Core concept
The quadratic formula, x=(-b±√(b²-4ac))÷2a, solves any quadratic equation, especially useful when factorisation is difficult.
How it works
The discriminant (b²-4ac) determines the nature of roots - positive gives two real roots, zero gives one repeated root, negative gives no real roots.
Why it matters
Factorisation method solves equations by expressing them as a product of two linear factors set to zero.
Key detail
Quadratic equations model real-life problems involving area, projectile motion, speed, and various optimisation scenarios.
Exam highlight
Key diagram
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Quick notes
• Quadratic formula: x=(-b±√(b²-4ac))÷2a.
• Discriminant = b²-4ac.
• Positive discriminant: two real roots.
• Zero discriminant: one repeated root.
• Negative discriminant: no real roots.
• Factorisation: two linear factors set to zero.
• Quadratics model area, motion, speed problems.
• Practice builds equation-solving skills.