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Solve the equation $x^2+y^2=z^2$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=\sqrt{z^2-x^2},\:y=-\sqrt{z^2-x^2}$
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Step-by-step Solution

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Learn how to solve equations problems step by step online. Solve the equation x^2+y^2=z^2. We need to isolate the dependent variable y, we can do that by simultaneously subtracting x^2 from both sides of the equation. Removing the variable's exponent. Cancel exponents 2 and 1. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \sqrt{z^2-x^2}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.

Final answer to the problem

$y=\sqrt{z^2-x^2},\:y=-\sqrt{z^2-x^2}$

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Function Plot

Plotting: $x^2+y^2-z^2$

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7
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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
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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Similar Problems Solved

$\log_3\left(81\right)=4$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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