SImplify the following

Question

-(-1) ± sqrt 1² -4(1)(7) ÷ 2(1)

Answer 1

this looks a lot like what you get after applying the quadratic formula to a quadratic equation

if so, then

1+ or minus sqr(-16)/2 = 1 + or - (4/2)i = 1 + or - 2i

= i + 2i

although if you strictly applied the PEMDAS usual order of operations to the problem as written you'd get a different answer

Answer 2

-(-1) = 1

sqrt(1²) = 1

4(1)(7)÷2(1) = 28÷2 = 14

So your expression simplifies to:

1 ± 1 - 14

The "±" requires we split the problem into two cases. Case 1 with a "+" and Case 2 with a "-"

Case 1: 1 + 1 - 14 = -12

Case 2: 1 - 1 - 14 = -14

So -(-1) ± sqrt 12 -4(1)(7) ÷ 2(1) simplifies to -12 and -14