0,25x²+x-4=-0,5x+1

0,25x²+x-4=-0,5x+1

$$\small{\text{ $ \begin{array}{rcll} 0,25x^2+x-4 &=& -0,5x+1 & \quad | \quad +0.5x-1\\ 0,25x^2+x-4 +0.5x-1&=& 0\\ 0,25x^2 +1.5x-5 &=& 0 & \quad | \quad \cdot 4\\ x^2 + 6x -20 &=& 0\\ \end{array} $}}$$

$$\small{\text{ $ \begin{array}{rcll} x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36}{4}+20} \\ x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36}{4} +20\cdot\frac{4}{4}} \\ x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36+80}{4} } \\ x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{116}{4} } \\ x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{4\cdot 29}{4} } \\ x_{1,2} &=& -3\pm\sqrt{29}\\ \end{array} $}}$$

$$\small{\text{ $ \begin{array}{l|l} x_1=-3+\sqrt{29} \quad & \quad x_2 = -3 - \sqrt{29}\\ x_1 = 2.38516480713 \quad & \quad x_2 = -8.38516480713\\ \end{array} $}}$$