Question

2n² + 2n - 12 = 0 in quadratic formula?

Answer 1

Explanation:

2n² + 2n - 12 = 0

in quadratic formula = n = 2, -3

Answer 2

`2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = (-b \pm√(b^2-4ac))/(2a). ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=(-1\pm√(1^2-4\cdot 1 \cdot -6))/(2\cdot 1)\\\\~~~=(-1\pm√(1+24))/(2)\\\\~~~=(-1\pm√(25))/(2)\\\\~~~=(-1\pm5)/(2)\\\\\text{Hence} ~ n=(-1+5)/(2) = 2 ~~\text{or}~~n = \frac{-1-5}2 = -3`