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Find the break even points of the expression $7800x^2-\frac{711453277}{10000}x+\frac{660719663}{10000}=0$

Step-by-step Solution

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Final Answer

$x=\frac{71145.3277+\sqrt{{\left(71145.3277\right)}^2+2061445348.56}}{15600},\:x=\frac{71145.3277-\sqrt{{\left(71145.3277\right)}^2+2061445348.56}}{15600}$
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Step-by-step Solution

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Divide $-711453277$ by $10000$

$7800x^2+71145.3277x+\frac{660719663}{10000}=0$

Learn how to solve one-variable linear equations problems step by step online.

$7800x^2+71145.3277x+\frac{660719663}{10000}=0$

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Learn how to solve one-variable linear equations problems step by step online. Find the break even points of the expression 7800x^2+-711453277/10000x660719663/10000=0. Divide -711453277 by 10000. Divide 660719663 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=7800, b=71145.3277 and c=66071.9663. 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

$x=\frac{71145.3277+\sqrt{{\left(71145.3277\right)}^2+2061445348.56}}{15600},\:x=\frac{71145.3277-\sqrt{{\left(71145.3277\right)}^2+2061445348.56}}{15600}$

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Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find the discriminant

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Plotting: $7800x^2-\frac{711453277}{10000}x+\frac{660719663}{10000}$

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0
a
b
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g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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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

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Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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