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Popular >

(x^2+1)/(x-5(x+1/x)+8)=0

Solution

\frac{x ^{2} + 1}{x - 5 ( x + \frac{1}{x} ) + 8} = 0

Solution

x = i, x = - i

Solution steps

\frac{x ^{2} + 1}{x - 5 ( x + \frac{1}{x} ) + 8} = 0

Simplify

\frac{x ^{2} + 1}{x - 5 ( x + \frac{1}{x} ) + 8} : \frac{x ( x ^{2} + 1 )}{- 4 x ^{2} - 5 + 8 x}

\frac{x ( x ^{2} + 1 )}{- 4 x ^{2} - 5 + 8 x} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x (x^{2} + 1) = 0

Solve

x (x^{2} + 1) = 0 : x = 0, x = i, x = - i

x = 0, x = i, x = - i

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = i, x = - i

Popular Examples

(y^2-5)/(3y)=-13

\frac{y ^{2} - 5}{3 y} = - 13

solvefor x, 1/x+3/y =1 solve for

x, \frac{1}{x} + \frac{3}{y} = 1

solvefor x,3y=((1+cos(x)))/((1-cos(x)))solve for

x, 3 y = \frac{( 1 + cos ( x ) )}{( 1 - cos ( x ) )}

solvefor a,6b= 7/((5-a))(a)solve for

a, 6 b = \frac{7}{( 5 - a )} (a)

(6.9^1)/x-(13.6^1)/x+(6.4^1)/x =0

\frac{6. 9 ^{1}}{x} - \frac{13. 6 ^{1}}{x} + \frac{6. 4 ^{1}}{x} = 0

Frequently Asked Questions (FAQ)

What is the answer to (x^2+1)/(x-5(x+1/x)+8)=0 ?
The answer to (x^2+1)/(x-5(x+1/x)+8)=0 is x=i,x=-i
Solve for x: (x^2+1)/(x-5(x+1/x)+8)=0
The solution is x=i,x=-i