What is the answer to (sqrt(x)+6)^3=125 ?

The answer to (sqrt(x)+6)^3=125 is No Solution for x\in\mathbb{R}

Solve for x: (sqrt(x)+6)^3=125

The solution is No Solution for x\in\mathbb{R}

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(x + 6)^{3} = 125

No Solution for x \in R

Solution steps

(x + 6)^{3} = 125

Move

125

to the left side

(x)^{3} + 18 (x)^{2} + 108 x + 91 = 0

Factor

(x)^{3} + 18 (x)^{2} + 108 x + 91 : (x + 1) (x + 17 x + 91)

(x + 1) (x + 17 x + 91) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x + 17 x + 91 = 0

Solve

x + 1 = 0 :

No Solution for

x \in R

Solve

x + 17 x + 91 = 0 :

No Solution for

x \in R

No Solution for x \in R

6 x = 30

6 x = 2 x

4 x + 13 = 6 x + 7

- 96 = 3 (8 x)^{\frac{5}{3}}

1 + 2 x + 1 = 4

What is the answer to (sqrt(x)+6)^3=125 ?
The answer to (sqrt(x)+6)^3=125 is No Solution for x\in\mathbb{R}
Solve for x: (sqrt(x)+6)^3=125
The solution is No Solution for x\in\mathbb{R}