From the given function, the x-intercepts will be calculated as follows: at x-intercept f(x)=0, thus when f(x)=0 f(x)=7x^2+9x+1 we shall have: 0=7x^2+9x+1 solving the above using quadratic formula the above we get: x=[-b+/-sqrt(b^2-4ac)]/2a from the function, a=7, b=9 and c=1 thus plugging the values in the formula we obtain: x=[-9+/-sqrt(9^2-4(7*1))]/(2*7) x=[-9+/-sqrt(53)]/14 x=-9/14+√54/14 or x=-9/14-√54/14 thus the x-intercepts are the values of x
