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Solve the equation $x+x^{-1}=\sqrt{5}$

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Solution

Formulas

Videos

Algebra 2 - Solving a factored quadratic equation using the zero product property, -x(3x + 5) = 0

https://www.youtube.com/watch?v=3on6rsKoK_k

Algebra 2 - Learn to describe and solve for the zeros using completing the square 4x^2 - 4x - 1 = 0

https://www.youtube.com/watch?v=0lpMs0iXm2E

Algebra 2 - using the square root method to solve a quadratic equation 4x^2 - 4x + 1 = 9

https://www.youtube.com/watch?v=90FQ2oLoEEQ

Algebra 2 - How to find the solutions of a quadratic using the quadratic formula, 4x^2 + x = 3

https://www.youtube.com/watch?v=ZQu6QjBgXS8

Algebra 2 - Learn how to complete the square to solve a quadratic, x^2 - 14x + 19 = 0

https://www.youtube.com/watch?v=xRlis69-HA0

Pre-Calculus - Using the square root method to solve a quadratic equation, (1/2)x^2 + 3 = 19

https://www.youtube.com/watch?v=dvE_W89LrqA

Function Plot

Plotting: $x+x^{-1}-\sqrt{5}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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: Quadratic Formula

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing. Using the quadratic formula is often the most convenient way.

Used Formulas

See formulas (1)

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