Solve the equation with radicals $x^{0.5}+y^{\left(0,5\right)}=9$

Step-by-step Solution

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Final answer to the problem

$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Solve for y
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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Can't find a method? Tell us so we can add it.
1

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $x^{0.5}$ from both sides of the equation

$y^{\left(0,5\right)}=9-x^{0.5}$
2

Raise both sides of the equation to the exponent $\frac{1}{0,5}$

$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$

Final answer to the problem

$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$

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Function Plot

Plotting: $x^{0.5}+y^{\left(0,5\right)}-9$

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Answer Assistant

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Got a different answer? Verify it!

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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: Radical Equations and Functions

Equations that have variables inside a radical.

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