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# Solve the quadratic equation $z^2+z=132$

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##  Final answer to the problem

$z=\frac{1}{2}$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for z
• 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
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Can't find a method? Tell us so we can add it.
1

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

$z^2+z+\frac{1}{4}- \frac{1}{4}=132$

Learn how to solve integral calculus problems step by step online.

$z^2+z+\frac{1}{4}- \frac{1}{4}=132$

Learn how to solve integral calculus problems step by step online. Solve the quadratic equation z^2+z=132. Factor the polynomial z^2+z. Add and subtract \left(\frac{b}{2}\right)^2, where in this case b equals 1. Now we can factor z^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

$z=\frac{1}{2}$

##  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

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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

###  Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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