quadratic equation using the quadratic formula

There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..

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 ..

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 the..

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) ..

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 '..

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

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 ..

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..

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 complex roots always occur in conjugate pairs. i.e., a + i b and a - i ..

Identify a quadratic equation with solutions 2 and - 4. => x 2 - 2 x + 8 = 0 or x 2 + 2 x + 8 = 0 or x 2 - 2 x - 8 = 0 or x 2 + 2 x - 8 = 0..