SOLUTION: 12x^2 - 35x = -18 cant figure out what "x" equals. how do you figure this out? thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 12x^2 - 35x = -18 cant figure out what "x" equals. how do you figure this out? thank you!      Log On


   

Question 701710: 12x^2 - 35x = -18 cant figure out what "x" equals. how do you figure this out?

thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
12x%5E2+-+35x+=+-18

12x%5E2+-+35x+%2B+18+=+0

Now use the quadratic formula


x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%28-35%29%2B-sqrt%28%28-35%29%5E2-4%2812%29%2818%29%29%29%2F%282%2812%29%29 Plug in a+=+12, b+=+-35, c+=+18

x+=+%2835%2B-sqrt%281225-%28864%29%29%29%2F%2824%29

x+=+%2835%2B-sqrt%28361%29%29%2F24

x+=+%2835%2Bsqrt%28361%29%29%2F24 or x+=+%2835-sqrt%28361%29%29%2F24

x+=+%2835%2B19%29%2F24 or x+=+%2835-19%29%2F24

x+=+54%2F24 or x+=+16%2F24

x+=+9%2F4 or x+=+2%2F3

In the end, the answers are x+=+9%2F4 or x+=+2%2F3