Question

3/4x+1=x+4

Answer 1

is it:\[\frac{3}{4x+1} = x+1\] OR \[\frac{3}{4x} + 1 = x+4\]

Answer 2

the second one!!

Answer 3

ok, subtract 1 from each side:\[\frac{3}{4x} = x+3\]Then multiply both sides by 4x:\[3 = 4x(x+3)\]Simplify to:\[3=4x^2 + 12x\]Can you solve it from here?

Answer 4

from there do i add 12z to 4z??

Answer 5

no, you make it a quadratic (complete the square)\[3 = 4(x^2 + 12x) \rightarrow 3+4(36) = 4(x^2 + 12x + 36) \rightarrow 147 = 4(x+6)^2\]Then:
\[\frac{147}{4} = (x+6)^2 \rightarrow x+6 = \pm \sqrt{\frac{147}{4}} \rightarrow x = -6 \pm \frac{\sqrt{147}}{2}\]

Answer 6

i need help @moser90 !!