We need to solve the following equation:
[tex]5x^2-7x=2[/tex]
The first step is to move all the terms to the left side:
[tex]5x^2-7x-2=0[/tex]
Then we have to calculate the roots of the equation:
[tex]\begin{gathered} x_{1,2}=\frac{-(-7)\pm\sqrt[]{(-7)^2-4\cdot5\cdot(-2)}_{}}{2\cdot5}=\frac{7\pm\sqrt[]{89}}{10} \\ x_{1,2}=\frac{7\pm9.44}{10} \\ x_1=\frac{7+9.44}{10}=1.644 \\ x_2=\frac{7-9.44}{10}=-0.244 \end{gathered}[/tex]
The roots are -0.244 and 1.644.
