Without graphing estimate the x-intercepts of the graph of f (x) = 7x^2+9x+1 to the nearest tenth.

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