Answer:
[tex]x_1=\frac{2+ 13.56466}{10}=1.5565\\\\x_2=\frac{2- 13.56466}{10}=-1.1565[/tex]
Step-by-step explanation:
Roots of Quadratic Equation: Roots of [tex]ax^2+bx+c=0[/tex] is given by
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]5x^2-2x-8=1\\\\5x^2-8x-9=0[/tex]
[tex]Here\ a=5,\ b=-2,\ c=-9\\\\x=\frac{-(-2)\pm \sqrt{(-2)^2-4\times (5)(-9)}}{2\times 5}\\\\x=\frac{2\pm \sqrt{4+180}}{10}\\\\x=\frac{2\pm \sqrt{184}}{10}\\\\x=\frac{2\pm 13.56466}{10}\\\\x_1=\frac{2+ 13.56466}{10}=1.5565\\\\x_2=\frac{2- 13.56466}{10}=-1.1565[/tex]
