" Real Nonbers "

Real Numbers

Real Number and Real Number line

Let p(x)= x^2+ax+b have two distinct real roots, where a, b are real numbers. Define g(x)= p(x^3) for all real numbers x. Then which of the following statements are true? I. g has exactly two distinct real roots. II. g can have more than two distinct real roots III. There exists a real number alpha such that g(x) ge alpha for all real x

The set of all real numbers is

Real Object

The expression ax^2+2bx+c , where 'a' is non-zero real number, has same sign as that of 'a' for every real value of x,then roots of quadratic equation ax^2+ (b-c) x-2b-c -a-0 are: (a) real and equal (b) real and unequal (c) non-real having positive real part(d) non-real having negative real part

Real Image

Real image