Math Problem Solver

\(4 x^{4}+8 x^{3}-17 x^{2}-12 x+9\) \(=4\left(\mathrm{x}-\mathrm{x}_{1}\right)\left(\mathrm{x}-\mathrm{x}_{2}\right)\left(\mathrm{x}-\mathrm{x}_{3}\right)\left(\mathrm{x}-\mathrm{x}_{4}\right)\) Put \(\mathrm{x}=2 \mathrm{i} \) & \( -2 \mathrm{i}\) \( 64-64 i+68-24 i+9=\left(2 i-x_{1}\right)\left(2 i-x_{2}\right)\left(2 i-x_{3}\right)\) \(\left(2 \mathrm{i}-\mathrm{x}_{4}\right)\) \(=141-88 \mathrm{i}\) .......(1) \(64+64 i+68+24 i+9=4\left(-2 i-x_{1}\right)\left(-2 i-x_{2}\right)(-2 i\)\(\left.-\mathrm{x}_{3}\right)\left(-2 \mathrm{i}-\mathrm{x}_{4}\right)\) \(=141+88 \mathrm{i}\) ........(2) \(\frac{125}{16} \mathrm{~m}=\frac{141^{2}+88^{2}}{16}\) \( \mathrm{m}=221\)