Solve the equation $x^2+y^2=1$

Step-by-step Solution

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Final answer to the problem

$y=\sqrt{1-x^2},\:y=-\sqrt{1-x^2}$
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Step-by-step Solution

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Apply the formula: $x+a=b$$\to x=b-a$, where $a=x^2$, $b=1$, $x+a=b=x^2+y^2=1$, $x=y^2$ and $x+a=x^2+y^2$

$y^2=1-x^2$

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$y^2=1-x^2$

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Learn how to solve problems step by step online. Solve the equation x^2+y^2=1. Apply the formula: x+a=b\to x=b-a, where a=x^2, b=1, x+a=b=x^2+y^2=1, x=y^2 and x+a=x^2+y^2. Apply the formula: x^a=b\to \left(x^a\right)^{\frac{1}{a}}=\pm b^{\frac{1}{a}}, where a=2, b=1-x^2 and x=y. Apply the formula: \left(x^a\right)^b=x, where a=2, b=1, x^a^b=\sqrt{y^2}, x=y and x^a=y^2. Apply the formula: a=\pm b\to a=b,\:a=-b, where a=y and b=\sqrt{1-x^2}.

Final answer to the problem

$y=\sqrt{1-x^2},\:y=-\sqrt{1-x^2}$

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Function Plot

Plotting: $x^2+y^2-1$

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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

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