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Solve the equation with radicals $7+\sqrt[3]{5x-2}=9$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=2$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $7$ from both sides of the equation

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

$\sqrt[3]{5x-2}=9-7$

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Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals 7+(5x-2)^(1/3)=9. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 7 from both sides of the equation. Subtract the values 9 and -7. Removing the variable's exponent raising both sides of the equation to the power of 3. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2 from both sides of the equation.

Final answer to the problem

$x=2$

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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

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Function Plot

Plotting: $7+\sqrt[3]{5x-2}-9$

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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
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

How to improve your answer:

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$30x^{\frac{1}{3}}y^{\frac{2}{3}}=384000$

Main Topic: Equations with Cubic Roots

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

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