Rationalisation of Real Numbers, Laws of Exp0nents

Irrational numbers are real numbers also.

Galileo's law of odd numbers

If R is the set of real numbers, then which elements are presented by theset {x in R : x^(2) + 2x +2 =0}

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these

Prove that the identity function on real numbers given by f(x) = x is continuous at every real number.

For the given statement identify the necessary and sufficent conditions r : If x is real number such that xgt0 " then " x+1/xge2

If a,b,c are positive real numbers, then the number of positive real roots of the equation ax^(2)+bx+c=0 is

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4