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What a quadratic equation is, solving one by factorisation, and the quadratic formula with its discriminant.
Quadratic Equations
Full NCERT Exercise 4.3 solutions using the discriminant: nature of roots of three equations, values of k for equal roots, and whether the mango grove, friends' ages and rectangular park situations are possible.
Quadratic Equations
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.
Quadratic Equations
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.
Quadratic Equations
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.
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.
Quadratic Equations
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.