![image](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E4-4%5Ccdot+%7Cx%7C%5Ccdot+x%2B4%7D+%5Cleq+%5Cfrac%7Bx%7D%7B%7Cx%7C%7D%5C%3B+%5C%3B+%3B%5C%3B+%5C+%3B+ODZ%3A%5C%3B+%5C%3B+x%5Cne+0%2C%5C%3B+x%5Cin+%28-%5Cinfty%2C0%29U%280%2C%2B%5Cinfty%29%5C%5C%5C%5Ca%29%5C%3B+x%3C0%5C%3B+%5Cto+%5C%3B+%7Cx%7C%3D-x%5C%3B+%5Cto+%5C%5C%5C%5C%5Csqrt%7Bx%5E4%2B4x%5E2%2B4%7D+%5Cleq+-1%5C%3B+%5C%3B+nevozmozno%2C%5C%3B+t.k.+%5C%3B+%5Csqrt%7Bx%5E4%2B4x%5E2%2B4%7D+%5Cgeq+0%5C%5C%5C%5Cb%29%5C%3B+x%3E0%5C%3B+%5Cto+%5C%3B+%7Cx%7C%3Dx%5C%3B+%5Cto+%5C%5C%5C%5C%5Csqrt%7Bx%5E4-4x%5E2%2B4%7D+%5Cleq+1%5C%5C%5C%5C0+%5Cleq+x%5E4-4x%5E2%2B4+%5Cleq+1%5C%5C%5C%5Cx%5E4-4x%5E2%2B3+%5Cleq+0%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+x%5E2%3D1%5C%3B+%5C%3B+ili%5C%3B+%5C%3B+x%5E2%3D3%5C%5C%5C%5Cx%3D%5Cpm+1%5C%3B+%5C%3B+ili%5C%3B+%5C%3B+x%3D%5Cpm+%5Csqrt3)
0\; \to \; |x|=x\; \to \\\\\sqrt{x^4-4x^2+4} \leq 1\\\\0 \leq x^4-4x^2+4 \leq 1\\\\x^4-4x^2+3 \leq 0\; \; \to \; \; x^2=1\; \; ili\; \; x^2=3\\\\x=\pm 1\; \; ili\; \; x=\pm \sqrt3" alt="\sqrt{x^4-4\cdot |x|\cdot x+4} \leq \frac{x}{|x|}\; \; ;\; \ ; ODZ:\; \; x\ne 0,\; x\in (-\infty,0)U(0,+\infty)\\\\a)\; x<0\; \to \; |x|=-x\; \to \\\\\sqrt{x^4+4x^2+4} \leq -1\; \; nevozmozno,\; t.k. \; \sqrt{x^4+4x^2+4} \geq 0\\\\b)\; x>0\; \to \; |x|=x\; \to \\\\\sqrt{x^4-4x^2+4} \leq 1\\\\0 \leq x^4-4x^2+4 \leq 1\\\\x^4-4x^2+3 \leq 0\; \; \to \; \; x^2=1\; \; ili\; \; x^2=3\\\\x=\pm 1\; \; ili\; \; x=\pm \sqrt3" align="absmiddle" class="latex-formula">