the quadratic equation

Our investigation reveals that there is a definite relationship between the roots of a quadratic equation and the coefficient of the second term and the constant term. The sum of the roots of a quadratic equation is equal to the negation of the coeff..

Relation between the roots of a quadratic equation - Let a and b be the roots of the equation (i), Then x = a and x = b Since a and b are the roots of the equations (i) and (ii), both the equations are identical. Dividing equation (i) by '..

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 ..

An equation of the type where a, b, c are constants is called a quadratic equation in the variable x or an equation of the second degree. In the above equation, a is the coefficient of x 2 b is the coefficient of x and c is the constant term or ..

I Method - Methods of completing a square and to derive the formula for the solution of the quadratic equation..

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..

Choose a quadratic equation that has the solutions 13 and 9. => x 2 - 22 x + 4 = 0 or x 2 - 4 x + 117 = 0 or x 2 - 22 x + 117 = 0 or x 2 + 22 x + 117 = 0..

Which of the following can be the discriminant of the graph of the quadratic equation? => b 2 - 4 ac = 4 or b 2 - 4 ac = 0 or b 2 - 4 ac = 2 or b 2 - 4 ac = 8..

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) ..

Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbe..