`x^(2) + x + 1/sqrt(2)=0`

sqrt(2)x^(2) +x + sqrt(2)=0

x^(2) + x/sqrt(2)+1=0

Solve sqrt(5)x^(2) + x + sqrt(5)=0

Find the nature of the roots of the quadratic equation sqrt(2)x^(2) - (3)/(sqrt(2))x + (1)/(sqrt(2))=0 .

Solve the equation x^(2) + (x)/(sqrt(2)) + 1= 0

The value of lim_(x rarr oo) [sqrt(a^(2)x^(2)+ ax+1) - sqrt(a^(2)x^(2)+1)] is

The function f(x) = (x^(2))/(a) , if 0 le x le 1 =a, if 1 le x lt sqrt(2) = (2b^(2) - 4b)/(x^(2)) , if sqrt(2) le x lt oo is continuous for 0 le x lt oo , then the most suitable values for a and b are :

Evaluate : lim_(x to oo) sqrt(x^(2)+x +1) - sqrt(x^(2)+1)