What is the answer to 5x^2+3x=4xsqrt(x^2+3x)+16 ?

The answer to 5x^2+3x=4xsqrt(x^2+3x)+16 is x= 16/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5x^2+3x=4xsqrt(x^2+3x)+16

5 x^{2} + 3 x = 4 x x^{2} + 3 x + 16

x = \frac{16}{3}

Decimal Notation

x = 5.33333 \dots

Solution steps

5 x^{2} + 3 x = 4 x x^{2} + 3 x + 16

Remove square roots

25 x^{4} + 30 x^{3} - 151 x^{2} - 96 x + 256 = 16 x^{4} + 48 x^{3}

Solve

25 x^{4} + 30 x^{3} - 151 x^{2} - 96 x + 256 = 16 x^{4} + 48 x^{3} : x = 1, x = \frac{16}{3}

x = 1, x = \frac{16}{3}

Verify Solutions:

x = 1

False

, x = \frac{16}{3}

True

The solution is

x = \frac{16}{3}

x + 4 - 3 = 2

x + 85 + 11 = 20

3 x + 3 = 7 x + 15

0 = 1 - \frac{1}{3} t^{- \frac{2}{3}}

2 x - \frac{16}{x} = 0

What is the answer to 5x^2+3x=4xsqrt(x^2+3x)+16 ?
The answer to 5x^2+3x=4xsqrt(x^2+3x)+16 is x= 16/3
Solve for x: 5x^2+3x=4xsqrt(x^2+3x)+16
The solution is x= 16/3