#1**+1 **

-4n²-n-6=0

The discriminant is given by b^2 - 4ac = (-1)^2 - 4(-4)(-6) = 1 - 96 = -95

A discriminant < 0 means that we have non-real solutions

CPhill
May 23, 2017

#2**0 **

a = -4

b = -1

c = -6

The discriminant is always b^{2} - 4ac, so it's:

(-1)^{2} - 4(-4)(-6)

= 1 - 4(24)

= 1 - 96

= -95

If the discriminate is <0, the quadratic formula becomes unsolvable, which means there are no values of n which satisfy this equation.

A good resource to use is WolframAlpha when checking your answers for these problems.

Here is the site with this function as the input. You'll notice the graph never touches the x-axis which means that y can never equal zero and the problem has no solution.

Guest May 23, 2017