# Math Help - Confused

1. ## Confused

i just need someone to show me maybe one example of how to solve a problem like

x+5/x+3=8

or

1+1/x=6/x^2

2. 1) $x\ne 0$ so the equation is $x+\frac 5x +3=8\leftrightarrow x^2+5+3x=8x\leftrightarrow$ $x^2-5x+5=0\rightarrow x_{1,2}=\frac {-(-5)\pm\sqrt{5^2-4\cdot 1\cdot 5}}{2\cdot 1}=\frac {5\pm\sqrt{25-20}}{2}=\frac {5\pm\sqrt{5}}2$
2) $x\ne 0$ so the equation is $1+\frac 1x=\frac 6{x^2}\leftrightarrow x^2+x=6\leftrightarrow x^2+x-6=0\leftrightarrow (x+3)(x-2)=0\rightarrow x=-3\,\text{or}\,2$

3. im sorry i posted the problem incorrectly

its

(x+5)/(x+3)=8

x plus 5 over x plus 3 equals 8, solve for x

4. (x + 5) / (x + 3) = 8 {multiply both sides by (x + 3)}
x + 5 = 8x + 24 {Rearrange}
7x = -19
x = -19/7 as a fraction

Or at least to my knowledge. It works anyway