CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Let

h(x)=\dfrac{5x}{2x^{2}+4x+5}

. (i) Calculate the discriminant of the quadratic denominator

2x^{2}+4x+5

. (ii) Deduce whether the denominator has any real zeros. (iii) State the domain of

h(x)

, supporting your conclusion with clear reasoning.