SOLUTION: 256x^2 = 36 a. -3/8, 3/8 b.-9/64,9/64 c.-8/3,8/3 d. -64/9,64/9

Algebra ->  Graphs -> SOLUTION: 256x^2 = 36 a. -3/8, 3/8 b.-9/64,9/64 c.-8/3,8/3 d. -64/9,64/9      Log On


   

Question 119211: 256x^2 = 36
a. -3/8, 3/8
b.-9/64,9/64
c.-8/3,8/3
d. -64/9,64/9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
256x%5E2+=+36 Start with the given equation


x%5E2+=+36%2F256 Divide both sides by 256


x=sqrt%2836%2F256%29 Take the square root of both sides. I can't type in the plus/minus symbol, but just remember that there's a negative solution as well.


x=sqrt%2836%29%2Fsqrt%28256%29 Break up the square root



x=%286%29%2Fsqrt%28256%29 Simplify sqrt%2836%29 to get 6


x=%286%29%2F%2816%29 Simplify sqrt%28256%29 to get 16



x=3%2F8 Reduce


Remember, there's a negative portion as well. So the solution is

x=3%2F8 or x=-3%2F8

So the answer is A)