Use the quadratic formula to solve the equation
x^2 - x = -7
x^2 - x + 7 = -7 + 7
x^2 - x + 7 = 0
a= 1, b= -1, c= 7
- (-1) + or - sqrt (-1)^2-4(1)(7)/2(1)
1 + or - sqrt 1-28/ 2
1 + or - sqrt -27 /2
am I on the right track here?
First, be careful with your parentheses! Most people would read "1 + or - sqrt -27/2" as but what you mean is which, without LaTex, should be written as (1 + or - sqrt(27))/2.
Now, for the square root: . The square root of -1 is, by definition, "i". So . It is also true that 27= 9(3) so . Your teacher might insist that you write the answer as and, in any case, it is better to do so.