what makes a quadratic equation quadratic

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..

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..

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..

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

. 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..

Type 1 - Equations of the form In such equations, put x n = t then the equation reduces to at 2 + bt + c = 0. Solve for t and then obtain the value of ..

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', we get The equations (ii) and (iii)..

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..