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

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##  Final answer to the problem

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

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
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Divide $-591483871$ by $10000$

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

Learn how to solve quadratic equations problems step by step online.

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

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 12000x^2+-5.91483871E8/10000x+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 (-).

##  Final answer to the problem

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

##  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

SnapXam A2

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

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.