Solve $x^{2}+x+1=0$

Solve the equation $x^{2}+\frac{x}{\sqrt{2}}+1=0$.

What are the roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$?

The number of distinct quadratic equations $ax^2 + bx + c = 0$ with unequal real roots that can be formed by choosing the coefficients $a, b, c$ such that $a \neq b \neq c$ from the set $\{0, 1, 2, 4\}$ is:

The quadratic equation $x^2+15|x|+14=0$ has

If the equation $x^2 - m(2x - 8) - 15 = 0$ has equal roots,then $m = ......$