SOLUTION: i would like to know the steps to solve the equation x(x-1)=6 i know the answer is supposed to be (-2,3) but I don't know the steps to solve it

Algebra ->  Functions -> SOLUTION: i would like to know the steps to solve the equation x(x-1)=6 i know the answer is supposed to be (-2,3) but I don't know the steps to solve it      Log On


   

Question 595513: i would like to know the steps to solve the equation x(x-1)=6 i know the answer is supposed to be (-2,3) but I don't know the steps to solve it
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x-1%29=6

x%5E2-x=6

x%5E2-x-6=0

Now use the quadratic formula to solve for x.

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

x+=+%28-%28-1%29%2B-sqrt%28%28-1%29%5E2-4%281%29%28-6%29%29%29%2F%282%281%29%29

x+=+%281%2B-sqrt%281-%28-24%29%29%29%2F%282%29

x+=+%281%2B-sqrt%2825%29%29%2F2

x+=+%281%2Bsqrt%2825%29%29%2F2 or x+=+%281-sqrt%2825%29%29%2F2

x+=+%281%2B5%29%2F2 or x+=+%281-5%29%2F2

x+=+6%2F2 or x+=+-4%2F2

x+=+3 or x+=+-2


So the solutions are x+=+3 or x+=+-2