Recent questions tagged equations

If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ?$0$$\frac{1}{2}$$\frac{-1}{4}$$-1$

If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is:$44$$42$$33$$55$

If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is:$0$$1$$2$$3$

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)For what values of $a$ is $le(a^{2}...

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)For what values of a is $me(a^{2} –...

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)For real numbers $a, b,$ which of t...

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)Find the value of $me(a + mo(le(a, ...

What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$?$m < 2$, or $m 5$ $m 2$ $2 < m < 5$ $m < 5$