Question 722225
{{{abs(x*root(3, 457)+sqrt(101))+2*root(5, 423) = -root(5, 423)}}}
If this is the equation, then there is no solution because...<ul><li>the fifth root of a positive number, like {{{root(5, 423)}}}, will be positive.</li><li>So the right side of the equation will be negative (because of the minus in front of what we know is a positive number).</li><li>On the left side, the term outside the absolute value is a positive number (because 2 times what we know is a positive will also be positive.</li><li>Like all absolute values, the absolute value on the left side cannot be negative, no matter what x happens to be. (It could be zero or positive but never negative.)</li><li>So the left side is the sum of an absolute value (which cannot be negative) and a known positive number. This cannot be equal to what we know is a negative number on the right side.</li></ul>