What is the answer to 2^5sqrt((x+6)^3)+3=19 ?

The answer to 2^5sqrt((x+6)^3)+3=19 is x\approx-5.37003…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^5sqrt((x+6)^3)+3=19

2^{5} (x + 6)^{3} + 3 = 19

x \approx - 5.37003 \dots

Solution steps

2^{5} (x + 6)^{3} + 3 = 19

Expand

2^{5} (x + 6)^{3} + 3 : 32 x^{3} + 18 x^{2} + 108 x + 216 + 3

32 x^{3} + 18 x^{2} + 108 x + 216 + 3 = 19

Move

3

to the right side

32 x^{3} + 18 x^{2} + 108 x + 216 = 16

Divide both sides by

32

x^{3} + 18 x^{2} + 108 x + 216 = \frac{1}{2}

Square both sides:

x^{3} + 18 x^{2} + 108 x + 216 = \frac{1}{4}

x^{3} + 18 x^{2} + 108 x + 216 = \frac{1}{4}

Solve

x^{3} + 18 x^{2} + 108 x + 216 = \frac{1}{4} : x \approx - 5.37003 \dots

x \approx - 5.37003 \dots

Verify Solutions:

x \approx - 5.37003 \dots

True

The solution is

x \approx - 5.37003 \dots

1 = 2 π \frac{x}{9.81}

x + 2 - x = 2

x + 1 - x - 2 = 1

x, x^{\frac{4}{3}} = 16

What is the answer to 2^5sqrt((x+6)^3)+3=19 ?
The answer to 2^5sqrt((x+6)^3)+3=19 is x\approx-5.37003…
Solve for x: 2^5sqrt((x+6)^3)+3=19
The solution is x\approx-5.37003…