Methods of solving quadratic equations
There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..
Equations reducible to quadratic form
Recall, a quadratic equation is of the form . An equation is said to be reducible to quadratic (or of quadratic form) if the variable factor of the leading term is the square of the variable factor in the second variable term. We can solv..
Formation of quadratic equations from given roots and conditions
Formation of quadratic equations from given roots and conditions. i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the comple..
Formation of quadratic equations from given roots and conditions. i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the comple..Nature of the roots
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational..
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rational..Algebra II
Absolute value to solve equations/inequalities Systems of linear equations/inequalities Operations on polynomials Factoring polynomials/trinomials Operations on complex numbers Operations on rational expressions Graphing quadratic equat..
Rational Numbers
Rational Numbers - We have defined rational numbers as those which can be expressed as fractions: We now define decimal fractions. The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or a power of ..
Rational Numbers - We have defined rational numbers as those which can be expressed as fractions: We now define decimal fractions. The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or a power of ..Rational Numbers
The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or a power of 10. A recurring decimal is denoted by placing dots or a bar over recurring digit..
Quadratic Equations
An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0). The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient. The pro..
Quadratic Equations
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..
Solve the quadratic equation - 4x2 - 4x + 8 = 0 using the graph.
Solve the quadratic equation - 4 x 2 - 4 x + 8 = 0 using the graph. => - 4 and 1 or - 2 and - 3 or - 3 and 1 or - 2 and 1..
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