Solve the equation with radicals $\sqrt[3]{1-5x}=-4$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
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

Final answer to the problem

$x=13$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choisir une option
  • Résoudre pour x
  • Simplifier
  • Facteur
  • Trouver les racines
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $x^a=b$$\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}$, where $a=\frac{1}{3}$, $b=-4$, $x^a=b=\sqrt[3]{1-5x}=-4$, $x=1-5x$ and $x^a=\sqrt[3]{1-5x}$

$1-5x=-64$

Learn how to solve equations avec racines cubiques problems step by step online.

$1-5x=-64$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve equations avec racines cubiques problems step by step online. Solve the equation with radicals (1-5x)^(1/3)=-4. Apply the formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, where a=\frac{1}{3}, b=-4, x^a=b=\sqrt[3]{1-5x}=-4, x=1-5x and x^a=\sqrt[3]{1-5x}. Apply the formula: x+a=b\to x=b-a, where a=1, b=-64, x+a=b=1-5x=-64, x=-5x and x+a=1-5x. Apply the formula: a+b=a+b, where a=-64, b=-1 and a+b=-64-1. Apply the formula: ax=b\to \frac{ax}{a}=\frac{b}{a}, where a=-5 and b=-65.

Final answer to the problem

$x=13$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $\sqrt[3]{1-5x}+4$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
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:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account