SOLUTION: I need to solve this equation with the quadratic formula. {{{m^2+12m+5=0}}} What i got was -6 + or - Squareroot of 31 I have done this twice but i seem to get it wrong every ti

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Question 254294: I need to solve this equation with the quadratic formula.

What i got was -6 + or - Squareroot of 31
I have done this twice but i seem to get it wrong every time then i also got -12 + or - squareroot of 31 and that was wrong to please help me.
Found 4 solutions by Alan3354, richwmiller, stanbon, JimboP1977:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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=124 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.432235637169978, -11.56776436283. Here's your graph:

----------------
It's
m = -6 ± sqrt(31)
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

The right answer is no prettier than your answer.
Solved by pluggable solver: SOLVE quadratic equation with variable
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=124 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.432235637169978, -11.56776436283. Here's your graph:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve this equation with the quadratic formula.
m^2+12m+5 = 0
---
Form: m = [-b +- sqrt(b^2-4ac)]/(2a)
---
Your Problem:
m = [-12 +- sqrt(144 - 4*1*5)]/(2)
---
m = [-12 +- sqrt(124)]/2
---
m = [-12 +- sqrt(4*31)]/2
---
m = [-12 +- 2sqrt(31)]/2
---
m = -6 +- sqrt(31)
==========================
Cheers,
Stan H.
Answer by JimboP1977(311)   (Show Source): You can put this solution on YOUR website!






USing the solver:
Solved by pluggable solver: SOLVE quadratic equation with variable
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=124 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.432235637169978, -11.56776436283. Here's your graph:
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