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# Solve the quadratic equation $\frac{416}{5}x^2-\frac{220613}{100}x-\frac{60621}{2}=0$

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##  Final answer to the problem

$x=36.4976844,\:x=-9.9816988$
Got another answer? Verify it here!

##  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 $416$ by $5$

$\frac{416}{5}x^2-\frac{220613}{100}x-\frac{60621}{2}=0$

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

$\frac{416}{5}x^2-\frac{220613}{100}x-\frac{60621}{2}=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 416/5x^2+-220613/100x-60621/2=0. Divide 416 by 5. Divide -220613 by 100. Divide -60621 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=\frac{416}{5}, b=2206.13 and c=30310.5. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

##  Final answer to the problem

$x=36.4976844,\:x=-9.9816988$

##  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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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
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

###  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.