Question

Solve the given equation

Answer 1

$\frac{4}{x} + \frac{1}{x + 1} = \frac{6}{x} \\ \frac{4 + 1 + 1}{x + 1} = \frac{6}{x} \\ \frac{6}{x + 1} = \frac{6}{x} \\ by \: cross \: multiplication \\ 6x = 6(x + 1) \\ (6x = 6x + 6 ) \div 6 \\ x = x + 1 \\ hope \: it \: helps \: you$

Answer 2

Answer:

x = -2

Step-by-step explanation:

4/x + 1/x+1 = 6/x

[4(x+1) + 1(x)]/x(x+1) = 6/x

[4x+4+x]/x²+x = 6/x

6(x²+x) = (4x+x+4)x

6x²+6x = 4x²+x²+4x

6x²-4x²-x²+6x-4x=0

x²+2x=0

x²=-2x

x=-2