Blog

Quadratic Equations

What a quadratic equation is, solving one by factorisation, and the quadratic formula with its discriminant.

Illustration for Quadratic Formula and Nature of Roots (Discriminant), Class 10

Quadratic Equations

Quadratic Formula and Nature of Roots (Discriminant), Class 10

The quadratic formula, why it is true, and how the discriminant tells you whether a quadratic has two distinct, two equal or no real roots, with worked examples including the circular park pole problem.

8 min read contains equations

Illustration for NCERT Class 10 Exercise 4.2 Solutions: Factorisation

Quadratic Equations

NCERT Class 10 Exercise 4.2 Solutions: Factorisation

Step-by-step solutions to all six questions of NCERT Class 10 Exercise 4.2: five quadratic equations solved by splitting the middle term, the marbles and toys problems, and four word problems, each answer checked.

12 min read contains equations

Illustration for Solving Quadratic Equations by Factorisation, Class 10

Quadratic Equations

Solving Quadratic Equations by Factorisation, Class 10

Solve quadratic equations by splitting the middle term: what a root is, why the zero-product rule works, a numbered method, and worked examples including a repeated surd root, the prayer hall and the marbles problem.

8 min read contains equations

Illustration for NCERT Class 10 Exercise 4.1 Solutions: Quadratic Equations

Quadratic Equations

NCERT Class 10 Exercise 4.1 Solutions: Quadratic Equations

Step-by-step NCERT Exercise 4.1 solutions: which of eight equations are quadratic after expanding, and how to write the plot, consecutive integers, Rohan's age and train speed problems as quadratic equations, each checked.

10 min read contains equations

Illustration for What Is a Quadratic Equation? Standard Form and Examples

Quadratic Equations

What Is a Quadratic Equation? Standard Form and Examples

Learn what makes an equation quadratic, how to write it in standard form, how to test untidy equations by expanding them, and how to turn word problems about a prayer hall, marbles and toys into quadratic equations.

10 min read contains equations

See a class before you decide

Book a demo class and watch how your child responds to the teaching.