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whats the discriminant, number, and type of solution to -4n²-n-6=0

Guest May 23, 2017
 #1
avatar+92856 
+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

 

 

 

cool cool cool

CPhill  May 23, 2017
 #2
avatar
0

a = -4

b = -1

c = -6

 

The discriminant is always b2 - 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.

https://www.wolframalpha.com/input/?i=-4n%C2%B2-n-6

Guest May 23, 2017

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