Quadratic Equations – Class 10 Math | Board Exam Prep in Learn with TheTechGirl

Описание: Welcome to TheTechGirl’s 10th Board Exam Math Series!

Hey everyone! I’m Abhilasha AKA TheTechGirl, and this is your ultimate math crash course to ace your 10th board exams without stress! Just a couple of hours a day, and you’ll be exam-ready.

Today’s lesson covers Quadratic Equations, which holds 7-8% weightage in your board exams. Quadratic equations are a crucial part of Algebra and have applications in motion, business, and geometry. Make sure you watch till the end for concepts, examples, and practice questions!

What You’ll Learn in This Video:
✅ What is a Quadratic Equation? (Definition & Examples)
✅ Real-Life Applications of Quadratic Equations
✅ Methods to Solve Quadratic Equations:
Factorization Method
Quadratic Formula Method
Completing the Square Method
✅ Understanding the Discriminant & Nature of Roots
✅ Practice Questions


Practice Questions: (Solve these & comment your answers!)

1. Solve using Factorization: x2 - 7x + 12 = 0
2. Solve using the Quadratic Formula: 2x2 - 3x + 1 = 0
3. Solve using Completing the Square: x2 - 4x - 5 = 0
4. Find the roots of the equation: x2 + 6x + 9 = 0
5. Find the nature of the roots of: x2 - 5x + 8 = 0 (Hint: Check the Discriminant!)
6. Find the value of k if one root of the equation kx2 - 6x + 2 = 0 is double the other.
7. Form a quadratic equation whose roots are 3 and -5.
8. A rectangle has an area of 60 m². Its length is 4 meters more than its width. Find its dimensions.
9. The product of two consecutive positive integers is 72. Find the integers.
10. If a train takes 4 hours to travel a certain distance at a speed of 40 km/h, how long will it take if its speed is increased by 10 km/h? (Hint: Form a quadratic equation based on the distance formula.)

📌 Make sure to:
👍 Like this video if you found it helpful!
🔔 Subscribe for more board exam prep videos!
📢 Share this with your classmates so they can score high too!

Follow me for more updates!
📸 Instagram: @the_tech_girl


💬 Comment below if you have any doubts, and I’ll be happy to help! See you in the next lesson!

#Class10Math #BoardExamPrep #QuadraticEquations #MathMadeEasy #TheTechGirl