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# Solve the quadratic equation $x+x^2=182$

## Step-by-step Solution

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###  Videos

$x=13,\:x=-14$
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##  Step-by-step Solution 

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Rewrite the equation

$x^2+x-182=0$

Learn how to solve logarithmic differentiation problems step by step online.

$x^2+x-182=0$

Learn how to solve logarithmic differentiation problems step by step online. Solve the quadratic equation x+x^2=182. Rewrite the equation. Factor the trinomial x^2+x-182 finding two numbers that multiply to form -182 and added form 1. Thus. Break the equation in 2 factors and set each equal to zero, to obtain.

$x=13,\:x=-14$

##  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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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1
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4
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

### Main Topic: Logarithmic Differentiation

The logarithmic derivative of a function f(x) is defined by the formula f'(x)/f(x).