We just looked at quadratic equations with real coefficients and real roots in the previous classes. Now, we'll look at quadratic equations with real coefficients and real and non-real roots in this chapter. Quadratic equations with complex coefficients and their solutions in the complex number structure will be discussed in the section. We only looked at quadratic equations with real coefficients and real roots in previous grades. The chapter deals with the definitions of the quadratic equations, which states that any algebraic equation with its degree as 2 will be considered a quadratic equation.
To better understand the concept, Kx 2 + Lx + M = 0 is the general quadratic equation in variable x, where K, L and M are integers (real or complex, and K≠ 0). The roots of an equation are the values of the variable that fulfil the given equation. The roots (-L+D)/2a and (- L-D)/2a, where D =√ L 2 – 4KM, yield the discriminant of the quadratic equation Kx 2 + Lx + M = 0. The chapter also introduces the graphs of the quadratic equations and how they are useful in solving the questions, and how the graphs can identify roots.
There are two exercises in Chapter 14 – Quadratic Equations, and the RD Sharma Solutions help the students to tackle the questions in the textbook. The concepts like Real-coefficient quadratic equations and Complex coefficients in quadratic equations are the two main concepts studied in this chapter. Students can use the solutions developed by the expert faculty team at Aakash Institute to solve the exercise problems to understand the concepts better. Practising daily is mandatory to score good grades in the exams.