I need help factoring this trinomial:
12x^2 -88x+112 =0
I tried using the quadratic formula and getting:
x=90.02758... or 85.9724.... which both don't make any sense whatsoever. I think I am making mistakes simplifying the quadratic formula. I get to [88 +/- sqrt(2368)]/24
What next?
my course is saying the factors are:
x=5.694 or 1.639
According to my calculator, , to two decimal places. Adding 88 gives 136.66 and dividing that by 24, 5.69 as your course gives.
Oh, I see what your error is. You have [88+/- sqrt(2369)]/24, which is correct, but you did 88+/- sqrt(2368)/24! Do you see the difference? The [ ] means you do the sum and difference before dividing by 24. If you entered, on your calculator, "88+ sqrt(2368)/24" you will be dividing only the square root by 24, not the sum. Either use parenthesis keys or, simpler, press the "=" key before the square root.
I hope it didn't! The roots of the equation are 5.694 and 1.639 (to three decimal places) but the factors of the trinomial are 12(x- 5.694)(x- 1.639).What next?
my course is saying the factors are:
x=5.694 or 1.639