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

Step-by-step Solution

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Final answer to the problem

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

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1

Factor the polynomial $x+x^2$. Add and subtract $\left(\frac{b}{2}\right)^2$, where in this case $b$ equals $1$

$x^2+x+\frac{1}{4}- \frac{1}{4}=182$

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$x^2+x+\frac{1}{4}- \frac{1}{4}=182$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x+x^2=182. Factor the polynomial x+x^2. Add and subtract \left(\frac{b}{2}\right)^2, where in this case b equals 1. Now we can factor x^2+x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Calculate the power \sqrt{\frac{1}{4}}. Multiply the fraction and term in - \frac{1}{4}.

Final answer to the problem

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

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Function Plot

Plotting: $x+x^2-182$

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1
2
3
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

How to improve your answer:

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.

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