Maths Standard (041) Formulae

CBSE Class 10 Maths Standard (041) Quadratic Equations Formulae

Chapter-wise and topic-wise formulae for Quadratic Equations. Choose a paper, chapter or topic to revise the exact formulae you need.

Subject and paperChapter

Topic

Quadratic Equations

Standard Form and Roots

Roots and coefficients

$α + β = - \frac{b}{a}$ , $α β = \frac{c}{a}$

Useful for forming or checking a quadratic equation.

Quadratic Equations

Solving Methods

Quadratic formula

$x = \frac{- b \pm b ^{2} - 4 a c}{2 a}$

Use when factorisation is not quick or obvious.

Quadratic Equations

Nature of Roots

Discriminant

$D = b^{2} - 4 a c$

$D > 0$ : two real roots; $D = 0$ : equal roots; $D < 0$ : no real roots.

Quadratic Equations

Situational Problems

Useful check

$a x^{2} + b x + c = 0$

After forming the equation, check every term against the information in the problem.

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CBSE 10Formulae

Maths Standard (041) Formulae

CBSE Class 10 Maths Standard (041) Quadratic Equations Formulae

Chapter-wise and topic-wise formulae for Quadratic Equations. Choose a paper, chapter or topic to revise the exact formulae you need.

Subject and paperChapter

Topic

Quadratic Equations

Standard Form and Roots

Roots and coefficients

$α + β = - \frac{b}{a}$ , $α β = \frac{c}{a}$

Useful for forming or checking a quadratic equation.

Quadratic Equations

Solving Methods

Quadratic formula

$x = \frac{- b \pm b ^{2} - 4 a c}{2 a}$

Use when factorisation is not quick or obvious.

Quadratic Equations

Nature of Roots

Discriminant

$D = b^{2} - 4 a c$

$D > 0$ : two real roots; $D = 0$ : equal roots; $D < 0$ : no real roots.

Quadratic Equations

Situational Problems

Useful check

$a x^{2} + b x + c = 0$

After forming the equation, check every term against the information in the problem.