If $x$ be real, the least value of ${x^2} - 6x + 10$ is

If $a, b, c$ are real numbers such that $a+b+c=0$ and $a^2+b^2+c^2=1$, then $(3 a+5 b-8 c)^2+(-8 a+3 b+5 c)^2$ $+(5 a-8 b+3 c)^2$ is equal to

The set of all real numbers $x$ for which ${x^2} - |x + 2| + x > 0,$ is

The number of solution$(s)$ of the equation $2^x = x^2$ is

If $x$ is real, then the value of $\frac{{{x^2} + 34x - 71}}{{{x^2} + 2x - 7}}$ does not lie between

The sum of the roots of the equation, ${x^2}\, + \,\left| {2x - 3} \right|\, - \,4\, = \,0,$ is