Question

PLEASE HELP!!!!!!!!!!!

An expression is shown below:

f(x) = -16x2 + 24x + 16

What are the x-intercepts of the graph of f(x)? Show your work.

Answer 1

@SolomonZelman @jim_thompson5910 @mathmale @satellite73

Answer 2

tranlate as
solve for \(x\) :\[-16x^2 + 24x + 16 =0\]

Answer 3

i would divide by \(-8\) and start with
\[2x^2-3x-2=0\] if you are lucky it factors, elsewise use the quadratic formula

Answer 4

Ok, so I got (x-2)(2x+1) = 0

Answer 5

what next?

Answer 6

set each factor equal to zero and solve for \(x\)
for example
\[x-2=0\iff x=2\]

Answer 7

ok, so is the answer 2 and -.5 ?

Answer 8

@satellite73 ?

Answer 9

yes

Answer 10

thanks for your help! :)

Answer 11

yw