What is the answer to (x-8)/(n-10)= n/x ?

The answer to (x-8)/(n-10)= n/x is x=4+sqrt(-n(-n+10)+16),x=4-sqrt(-n(-n+10)+16);\quad n\ne 10

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(x-8)/(n-10)= n/x

\frac{x - 8}{n - 10} = \frac{n}{x}

x = 4 + - n (- n + 10) + 16, x = 4 - - n (- n + 10) + 16; n \neq = 10

Solution steps

\frac{x - 8}{n - 10} = \frac{n}{x}

Cross multiply

(x - 8) x = (n - 10) n

Solve

(x - 8) x = (n - 10) n : x = 4 + - n (- n + 10) + 16, x = 4 - - n (- n + 10) + 16

x = 4 + - n (- n + 10) + 16, x = 4 - - n (- n + 10) + 16; n \neq = 10

a^{- 2} = 4

m, \frac{r + s}{mn} = p

\frac{1}{2 ( 5 x - 2 )} = 2 x + 4

x, \frac{11}{4 x} + 9 = 3

- \frac{3}{2 x} + \frac{3}{10 x} = 12

What is the answer to (x-8)/(n-10)= n/x ?
The answer to (x-8)/(n-10)= n/x is x=4+sqrt(-n(-n+10)+16),x=4-sqrt(-n(-n+10)+16);\quad n\ne 10