Question

solve 14/x+3 -1 =5/x+1, where x is not equal to -3 and -1 please solve i mark it as brainlest and don't give wrong answers i report​

Answer 1

Answer:

14/x+3-1=5/x+1

14/x+2=5/x+1

14/x -5/x=1-(+2)

9/x=1-2

9/x=-1

9=-1x

x=9/-1

x=-9

Answer 2

Dear student,
$\frac{14}{x + 3} - 1 = \frac{5}{x + 1} \\ \frac{14 - 1(x + 3)}{x + 3} = \frac{5}{x + 1} \\ \frac{14 - 3 - x}{x + 3} = \frac{5}{x + 1} \\ \frac{11 - x}{x + 3} = \frac{5}{x + 1} \\( 11 - x)(x + 1) = 5(x + 3) \\ 11x - {x}^{2} - x + 11 = 5x + 15 \\ 10x - {x }^{2} + 11 = 5x + 15 \\ 10x - 5x - {x}^{2} + 11 - 15 = 0 \\ 5x - {x}^{2} - 4 = 0 \\ {x}^{2} - 5x + 4 = 0 \\ {x}^{2} - x - 4x + 4 = 0 \\ x(x - 1) - 4(x - 1) = 0 \\ (x - 4)(x - 1) = 0 \\ x - 4 = 0 \: or \: x - 1 = 0 \\ x = 4 \: or \: x = 1$
Hope it helps you.
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