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# Solve the quadratic equation $6000x^2-\frac{109365}{2}x+\frac{182825}{2}=0$

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##  Final answer to the problem

$x=\frac{54682.5+\sqrt{{\left(54682.5\right)}^2-2147483648}}{12000},\:x=\frac{54682.5-\sqrt{{\left(54682.5\right)}^2-2147483648}}{12000}$
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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
Can't find a method? Tell us so we can add it.
1

Divide $-109365$ by $2$

$6000x^2+54682.5x+\frac{182825}{2}=0$

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

$6000x^2+54682.5x+\frac{182825}{2}=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 6000x^2+-109365/2x182825/2=0. Divide -109365 by 2. Divide 182825 by 2. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=6000, b=54682.5 and c=91412.5. 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.

##  Final answer to the problem

$x=\frac{54682.5+\sqrt{{\left(54682.5\right)}^2-2147483648}}{12000},\:x=\frac{54682.5-\sqrt{{\left(54682.5\right)}^2-2147483648}}{12000}$

##  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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◻/◻
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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
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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.

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