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Personnel Assignment Problem
If we are given the number of persons, number of jobs and the expected productivity of a particular person on a particular job, linear programming is used to maximise the average productivity of a perso..
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 product of the roots o..
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..
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 solve these types of equation..
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..
Quadratic Equations - Nature of Roots
. A quadratic equation has exactly two roots. For the quadratic equations, we have i) b 2 - 4ac > 0 Roots are real and distinctii) b 2 - 4ac = 0 Roots are real and equaliii) b 2 - 4ac < 0 Roots are imaginary and distinct If the roots of ax2 + bx + c = 0, a( 0),b, c R, are ..
Roots of a quadratic equation
A root of the equation f(x) = 0 is that value or values of x which make f(x) = 0. In other words, x = a or x = b are said to be the root of f(x) = 0, if f( a ) = 0, and f( b ) = 0 i.e., in f(x) = 0, replace x either by a or by b ..
Quadratic Equations Introduction
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbe..
Charles was given 13 days to complete a assignment. Convert the numb..
Charles was given 13 days to complete a assignment. Convert the number of days to weeks. => 14 7 or 7 13 or 15 7 or 13 7..
Which of the following can be the discriminant of the graph of the qua..
Which of the following can be the discriminant of the graph of the quadratic equation? => b 2 - 4 ac = - 3 or b 2 - 4 ac = 0 or b 2 - 4 ac = 5 or b 2 - 4 ac = 16..
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