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# Solve the quadratic equation $12000x^2-\frac{591483871}{10000}x+48580.6456=0$

## Step-by-step Solution

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###  Videos

$x=\frac{59148.3871+\sqrt{{\left(59148.3871\right)}^2+2331870988.8}}{24000},\:x=\frac{59148.3871-\sqrt{{\left(59148.3871\right)}^2+2331870988.8}}{24000}$
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##  Step-by-step Solution 

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Divide $-591483871$ by $10000$

$12000x^2+59148.3871x+48580.6456=0$

Learn how to solve factorization problems step by step online.

$12000x^2+59148.3871x+48580.6456=0$

Learn how to solve factorization problems step by step online. Solve the quadratic equation 12000x^2+-591483871/10000x+48580.6456=0. Divide -591483871 by 10000. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=12000, b=59148.3871 and c=48580.6456. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).

$x=\frac{59148.3871+\sqrt{{\left(59148.3871\right)}^2+2331870988.8}}{24000},\:x=\frac{59148.3871-\sqrt{{\left(59148.3871\right)}^2+2331870988.8}}{24000}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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5
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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
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(◻)
+
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×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch