SOLUTION: The question is: Use the quadratic formula to solve for the roots 9x²-6x-7=0 my steps: 6±√6²-4(9)(-7) over 18 = 6±√36+252 over 18 = 6±√288 over 18

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The question is: Use the quadratic formula to solve for the roots 9x²-6x-7=0 my steps: 6±√6²-4(9)(-7) over 18 = 6±√36+252 over 18 = 6±√288 over 18       Log On


   

Question 134843: The question is:
Use the quadratic formula to solve for the roots
9x²-6x-7=0
my steps:
6±√6²-4(9)(-7) over 18 = 6±√36+252 over 18 = 6±√288 over 18 ; √288 = 144 * 2 so,
6±12√2 over 18 = For my final answer I left it as : 1/3±12√2 over 18 Is that correct ?
do I need to simplify the 12 and the 8 ? I'm having doubts because the 12 is part of the radical and the 8 is by itself... (if I did anything wrong in my steps please notify me
thank you
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
What you have is mathematically correct. You can simplify
%2812%2Asqrt%282%29%29%2F18 as
%282%2Asqrt%282%29%29%2F3
so your 'final answers' could also be
%281%2B2%2Asqrt%282%29%29%2F3 and %281-2%2Asqrt%282%29%29%2F3
nice work. keep it up