Solutions to problems equivalent to the quadratic equation were known as early as 2000 BC.
A quadratic equation with real or complex coefficients has two solutions, called roots.
that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.
Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing.
Whether a person is convinced of the truth of evolutionary theory, a skeptic, or convinced of the design argument, a clearer and greater understanding of the evolution/design debate will be gained by reading this book. To be up to date and informed on the many falsehoods dominating contemporary science and biology textbooks, I strongly recommend the latest ‘politically incorrect’ book by Jonathan Wells.” Wolf-Ekkehard Lönnig, Ph.
D., Senior Scientist, Department of Molecular Genetics, Max Planck Institute of Plant Breeding Research, Cologne (retired).
The series also has applications in geometry and calculus instruction.
Algebra is also valuable for teachers seeking to review the subject matter.
It may be possible to express a quadratic equation .
The program shows how to use the Rules for Exponents to simplify expressions, demonstrating concepts through a discussion of the O-ring failure of the Challenger Space Shuttle. Factoring Polynomials This program defines polynomials and describes how the distributive property is used to multiply common monomial factors with the FOIL method.
It covers factoring, the difference of two squares, trinomials as products of two binomials, the sum and difference of two cubes, and regrouping of terms. Linear Equations This is the first program in which equations are solved.
CURRENT ELECTRICITY Different effects of electric current: potential difference, resistance, colour code, Ohm's law and its limitations, variation of resistance of a conductor with length- area of cross section and temperature, resistivity, superconductivity, thermistor and its applications, combination of resistors, EMF of a cell, current in a circuit, branch currents, grouping of cells, expression for different cases, potentiometer, problems Kirchhoff's laws: Condition for balance of a Wheatstone's bridge, metre bridge, Problems Magetic effect of current: direction of field, right hand clasp rule and magnitude - Laplace's law, force on a charged particle moving across a magnetic field (qualitative), magnetic field strength, flux density, magnetic flux density at a point on the axis of (a) a circular coil carrying current (derivation), (b) a solenoid carrying current (without derivation), tangent law, tangent galvanometer (with theory), Problems Force on a current carrying conductor in a magnetic field: Fleming's left hand rule, force between two parallel conductors carrying current, definition of ampere, suspended coil galvanometer (with theory), conversion of galvanometer into ammeter and voltmeter, Problems Magnetic materials: Intensity of Magnetising field (H), intensity of magnetisation (I) and magnetic induction (B) - relation connecting them, permeability and susceptibility, properties of dia, para and ferromagnetic substances, hysteresis cycle and its significance, retentivity and coercivity, uses of magnetic materials. Quantum theory of radiation: Explanation and applications of photoelectric effect, atom models, Bohr's theory of hydrogen atom, derivation of expressions for orbital radius, orbital velocity, energy of electron and wave number, spectral series, energy level diagram, de Broglie matter waves, Problems.
Electromagnetic induction: Laws, self and mutual induction, induction coil (principle), principle and working of a generator, expression for sinusoidal emf, peak, mean and rms values, impedance, current in R, L & C and RLC circuits, power factor, choke and transformer (principle), principles of a ac meters (moving iron and hot wire types) Problems. MODERN PHYSICS Introduction to modern physics: types of spectra, E. Nuclear Physics: Nuclear size, charge, mass and density, constituents, amu in terms of electron volts, magnetic moment and nuclear forces, mass defect and binding energy, nuclear fission, chain reaction, critical size, nuclear reactor, nuclear fusion, stellar energy, radiation hazards, Problems.