(38) please help me figure this out. The multiple choice answers did not match the answer that I got.

Select approx values of x that are solutions to f(x)=0
where f(x)=-7x^2 + 5x + 9

please show me steps

the roots are equally distant from x = -b/2a = 5/14 = 0.357

So, pick the roots that are the same distance from that value.