Solve the quadratic equation $36x=13+36x^2$

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Final answer to the problem

$x=\frac{36+24i}{72},\:x=\frac{36-24i}{72}$
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Step-by-step Solution

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Apply the formula: $a=b$$\to b=a$, where $a=36x$ and $b=13+36x^2$

$13+36x^2=36x$

Learn how to solve integrali che coinvolgono le funzioni logaritmiche problems step by step online.

$13+36x^2=36x$

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Learn how to solve integrali che coinvolgono le funzioni logaritmiche problems step by step online. Solve the quadratic equation 36x=13+36x^2. Apply the formula: a=b\to b=a, where a=36x and b=13+36x^2. Apply the formula: a=b\to a-b=0, where a=13+36x^2 and b=36x. Apply the formula: ax^2+bx+c=0\to x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, where a=36, x^2a=36x^2, b=-36, x^2a+bx=0=13+36x^2-36x=0, c=13, bx=-36x and x^2a+bx=13+36x^2-36x. Apply the formula: a=b\to a=b, where a=x and b=\frac{36\pm \sqrt{{\left(-36\right)}^2-4\cdot 36\cdot 13}}{2\cdot 36}.

Final answer to the problem

$x=\frac{36+24i}{72},\:x=\frac{36-24i}{72}$

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Function Plot

Plotting: $36x-13-36x^2$

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5
6
7
8
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

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