Question

use the quadratic formula to solve the given equation on the interval (0,pi/2); then use a graphing utility to approximate the angle x. round answer to three decimal places.

75sin^2x-34sinx+3=0

Answer 1

use substitution method. let sin x be whatever variable you'd like like a. therefore you'd get:
\[75 a ^{2} -34 a+3=0\]
then factor, if factoring doesn't work use quadratic formula.
as for finding the angle follow the directions and approximate the angle x.

Answer 2

don't forget when you get to the when you're done factoring that remember that you are solving for x so replace variable a with sin x.

Answer 3

Ok so after I factored I got a=1/3, 3/25..... these don't match up with the answers provided.