Answer: [tex]x=\frac{-7 \pm \sqrt{29}}{10}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions to the equation [tex]ax^2+bx+c=0[/tex] are [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex].
In this case, [tex]a=5, b=7, c=1[/tex].
Substituting these values into the formula,
[tex]x=\frac{-7 \pm \sqrt{7^2 -4(1)(5)}}{2(5)}\\\\x=\frac{-7 \pm \sqrt{29}}{10}[/tex]
