What is the answer to ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11 ?

The answer to ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11 is x\approx-3.05924…,x\approx 40.82197…

Solve for x: ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11

The solution is x\approx-3.05924…,x\approx 40.82197…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{( x ^{2} + 4 x )}{3 + ( \frac{84}{x ^{2}} + 4 x )} = 11

x \approx - 3.05924 \dots, x \approx 40.82197 \dots

Solution steps

\frac{( x ^{2} + 4 x )}{3 + ( \frac{84}{x ^{2}} + 4 x )} = 11

Simplify

\frac{x ^{2} + 4 x}{3 + ( \frac{84}{x ^{2}} + 4 x )} : \frac{x ^{2} ( x ^{2} + 4 x )}{3 x ^{2} + 84 + 4 x ^{3}}

\frac{x ^{2} ( x ^{2} + 4 x )}{3 x ^{2} + 84 + 4 x ^{3}} = 11

Multiply both sides by

3 x^{2} + 84 + 4 x^{3}

x^{2} (x^{2} + 4 x) = 11 (3 x^{2} + 84 + 4 x^{3})

Solve

x^{2} (x^{2} + 4 x) = 11 (3 x^{2} + 84 + 4 x^{3}) : x \approx - 3.05924 \dots, x \approx 40.82197 \dots

x \approx - 3.05924 \dots, x \approx 40.82197 \dots

Verify Solutions

Find undefined (singularity) points:

x = - 3.03293 \dots, x = 0

Combine undefined points with solutions:

x \approx - 3.05924 \dots, x \approx 40.82197 \dots

\frac{x}{( x + 10 )} = 0.94

\frac{1}{3 x ^{2} ( x - 3 ) + x ^{2}} = - 9

\frac{d}{( x + 10 )} - \frac{d}{( x - 10 )} = 4

\frac{u + 1}{u} = 2

y^{16} = \frac{- 4}{7 y}

What is the answer to ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11 ?
The answer to ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11 is x\approx-3.05924…,x\approx 40.82197…
Solve for x: ((x^2+4x))/(3+(\frac{84){x^2}+4x)}=11
The solution is x\approx-3.05924…,x\approx 40.82197…