Answer:
[tex]x_1= \frac{20}8 = \frac52; x_2= \frac28[/tex]
Step-by-step explanation:
the x intercepts are the solutions to the equation
[tex]8x^2-22x+5 = 0[/tex]. Quadratic formula it is, unless you can spot one right off the bat. Reduced version since the linear term is even.
[tex]\frac \Delta 4 = 11^2 -40 = 121-40 =81 = 9^2\\x_{1,2}= \frac{11\pm9} 8\\x_1= \frac{20}8 = \frac52; x_2= \frac28= \frac14[/tex]