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# Solve the quadratic equation $7800x^2-\frac{1575247059}{50000}x+\frac{357458403}{12500}=0$

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##  Final answer to the problem

$x=\frac{31504.94118+\sqrt{{\left(31504.94118\right)}^2+892216173.888}}{15600},\:x=\frac{31504.94118-\sqrt{{\left(31504.94118\right)}^2+892216173.888}}{15600}$
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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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1

Divide $-1575247059$ by $50000$

$7800x^2+31504.94118x+\frac{357458403}{12500}=0$

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

$7800x^2+31504.94118x+\frac{357458403}{12500}=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 7800x^2+-1575247059/50000x357458403/12500=0. Divide -1575247059 by 50000. Divide 357458403 by 12500. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=7800, b=31504.94118 and c=28596.67224. 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

$x=\frac{31504.94118+\sqrt{{\left(31504.94118\right)}^2+892216173.888}}{15600},\:x=\frac{31504.94118-\sqrt{{\left(31504.94118\right)}^2+892216173.888}}{15600}$

##  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
|◻|
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.