#3**+5 **

Here's the graph of both sides......https://www.desmos.com/calculator/omgitpgty8

Notice that there aren't any points of intersection.......thus...no real solutions...

CPhill
Dec 18, 2014

#2**+5 **

(x - 5x + 12)^{2} + 1 = -|x| ---> is equivalent to ---> (x - 5x + 12)^{2} + 1 + |x| = 0

(x - 5x + 12)^{2} can never be less than 0; similarly |x| can never be less than 0; whatever the sum of these two are, when you add another +1, you must get a number which is greater than 0.

Therefore, there can be no real solutions.

geno3141
Dec 18, 2014

#3**+5 **

Best Answer

Here's the graph of both sides......https://www.desmos.com/calculator/omgitpgty8

Notice that there aren't any points of intersection.......thus...no real solutions...

CPhill
Dec 18, 2014