Mathematics - Quadratic Equation Question with Solution | TestHub

$\begin{array}{rl}& 4x^4+8x^3-17x^2-12x+9\\ & =4\left(x-x_1\right)\left(x-x_2\right)\left(x-x_3\right)\left(x-x_4\right)\end{array}$
Put $x=2i\&-2i$ $\begin{array}{rl}& 64-64i+68-24i+9=\left(2i-x_1\right)\left(2i-x_2\right)\left(2i-x_3\right)\\ & \left(2i-x_4\right)\\ & =141-88i....(1)\\ & 64+64i+68+24i+9=4\left(-2i-x_1\right)\left(-2i-x_2\right)(-2i\\ & -x_3)\left(-2i-x_4\right)\\ & =141+88i....(2)\end{array}$ $\begin{array}{rl}& \frac{125}{16}\mathrm{m}=\frac{141^2+88^2}{16}\\ & \mathrm{m}=221\end{array}$