If a, b are two real numbers with `a lt b` show that a real number 'c' can be found between a and b such that `3c^(2)=b^(2)+ab+a^(2)`.

If a,b are two real numbers with a

If a , b are two real numbers with altb , then a real number c can be found between a and b such that the value of (a^2+a b+b^2)/(c^2)is_____

If a , b are two real numbers with a < b then a real number c can be found between a and b such that the value of (a^2+a b+b^2)/(c^2)i s_____

If a , b are two real numbers with a < b then a real number c can be found between a and b such that the value of (a^2+a b+b^2)/(c^2)i s_____

If a, b and c are three positive real numbers, show that a^2 + b^2 + c^2 ge ab + bc + ca

If a and b are two distinct real roots of the polynomial f(x) such that a

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