Solve for x 16 x 1 15 x 1

Asked by admin @ in Math viewed by 309 People

Solve for x : 16/x -1 = 15/x+1 ; x is not equal to 0 or -1.

Answered by admin @


Answer:

\text{The solution is }x=\pm 4

Step-by-step explanation:

Given the equation

\frac{16}{x}-1=\frac{15}{x+1}\text{, x is not equal to 0 or -1.}

we have to solve the above equation.

\frac{16}{x}-1=\frac{15}{x+1}

\frac{16-x}{x}=\frac{15}{x+1}

Cross multiplying both sides, we get

(16-x)(x+1)=15x

16x+16-x^2-x=15x

16x-15x-x+16=x^2

x^2=16

Taking square root on both sides, we get

x=\pm 4


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