The roots of the quadratic equation [tex] ax^2+bx+c=0 [/tex] are
[tex] x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} [/tex].
Here the given quadratic equation is [tex] 5x^2-13x+7=0 [/tex]. Here [tex] a=5,b=-13,c=7 [/tex].
The roots are
[tex] x=\frac{13 \pm \sqrt{13^2-4*5*7}}{2*5} \\
x=\frac{13 \pm \sqrt{29}}{10} [/tex]
