SACE / Mathematics / Year 10

Algebra _ Relation between roots and coefficients

By S · In 2017

Not yet rated

3,248 views

0 downloads

8 pages

Algebra _ Relation between roots and coefficients

Solution: Let α and β be the roots of the given equation. Sometimes the relation between roots of a quadratic equation is given and we are asked to find the condition i.e., relation between the coefficients a, b and c of quadratic equation. This is easily done using the formula α + β = -ba and αβ = ca.

Added March 2022

Cover page of Algebra _ Relation between roots and coefficients

Buy for $19.00

More notes by S

Algebra _ Relation between roots and coefficients

More notes by S

Co - Ordinate Geometry _ Intersection of two straight lines

Trigonometry - Trigonometric table for standard angles

Algebra _ G.C.D and L.C.M of Polynomials

Algebra _ Roots of the quadratic equation

Algebra _ Simplification of rational expressions

Trigonometry - Heights and Distances

Algebra _ Applications of simultaneous linear

Mensuration _ Right circular cone

Algebra _ Solving Quadratic Equation by Factorisation Method

Algebra _ Least Common Multiple (L.C.M.)

Algebra _ Synthetic Division

Algebra _ Simultaneous Equations

Trigonometry - Trigonometric Identities

Co - Ordinate Geometry _ Equation of a line

Trigonometry - Trigonometric Tables

Algebra _ Relation between H.C.F and L.C.M. of two polynomials

Co - Ordinate Geometry _ General form of a straight line

Algebra _ Problems leading to quadratic equations

Mensuration _ Circular and Hollow Cylinder

Algebra_Computation of square root

Co - Ordinate Geometry _ Concurrency of three lines

Algebra _ Addition and Subtraction of Rational Expressions

Algebra _ Undetermined Coefficients

Algebra _ Factor Theorem

Co - Ordinate Geometry _ Slope or gradient of a straight line

Co - Ordinate Geometry _ Area of a triangle

Algebra _ Quadratic Equations

Algebra _ Factorisation

Algebra _ Partial fractions

Algebra _ Remainder theorem, factor theorem and synthetic division