Solve the equation with radicals $\sqrt[3]{x-3}=2$

Step-by-step Solution

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acosh
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Final answer to the problem

$x=11$
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Step-by-step Solution

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  • Choose an option
  • Solve for x
  • 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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1

Removing the variable's exponent raising both sides of the equation to the power of $3$

Learn how to solve equations with cubic roots problems step by step online.

$\left(\sqrt[3]{x-3}\right)^3=2^3$

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Unlock the first 3 steps of this solution

Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals (x-3)^(1/3)=2. Removing the variable's exponent raising both sides of the equation to the power of 3. Cancel exponents \frac{1}{3} and 3. Calculate the power 2^3. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -3 from both sides of the equation.

Final answer to the problem

$x=11$

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Function Plot

Plotting: $\sqrt[3]{x-3}-2$

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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: Equations with Cubic Roots

Those equations that they degree (greatest exponent) equals 3.

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