SOLUTION: Solve using quadratic formula show all work 3n^2+12n=-5

Question 1094598: Solve using quadratic formula show all work
3n^2+12n=-5
Found 2 solutions by addingup, Alan3354:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
3n^2+12n = -5
3n^2+12n+5 = 0
n = (-12+sqrt(12^2-4*3*5))/2*3
n = (-12+sqrt(144-60))/6
n = (-12+sqrt84)/6
n = (9.165-12)/6
n = -0.4725

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3n^2+12n=-5
3n^2 + 12n + 5 = 0
---

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=84 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.472474768348053, -3.52752523165195. Here's your graph:

---------------
Ignore the statement that it can be factored.
It can't.
RELATED QUESTIONS
3x^2 +3x =21. Solve this problem by using the quadratic formula. Show all work. Thank (answered by josgarithmetic,ikleyn)
Hi! I'm stuck on how to solve this equation 4n^2+7=12n using the quadratic formula. Thank (answered by josgarithmetic)
Solve using to quadratic formula: 2n^2+3n+5=0. Can anyone explain this to me?... (answered by josgarithmetic)
x^2-8x+2=0 solve the eqaution by completing the square, than solve using the... (answered by Alan3354)
Solve using the quadratic formula. f(x)=x^2+8x-3 Show work please,... (answered by fractalier)
Solve using the quadratic formula. g(x)=2x^2-6x-1 Thanks! show work... (answered by MathLover1)
solve using the quadratic formula. show work for credit. Please help me solve.... (answered by darq)
x^2 + 3x - 18 = 0 Use the following quadratic equation to complete parts a and b... (answered by awang1996)
Solve equation with quadratic formula... (answered by Earlsdon,jsmallt9)