What is the answer to x+(5-x)/(x^2-25)=5 ?

The answer to x+(5-x)/(x^2-25)=5 is x=sqrt(26),x=-sqrt(26)

Solve for x: x+(5-x)/(x^2-25)=5

The solution is x=sqrt(26),x=-sqrt(26)

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x + \frac{5 - x}{x ^{2} - 25} = 5

x = 26, x = - 26

Decimal Notation

x = 5.09901 \dots, x = - 5.09901 \dots

Solution steps

x + \frac{5 - x}{x ^{2} - 25} = 5

Simplify

\frac{5 - x}{x ^{2} - 25} : - \frac{1}{x + 5}

x - \frac{1}{x + 5} = 5

Multiply both sides by

x + 5

x (x + 5) - 1 = 5 (x + 5)

Solve

x (x + 5) - 1 = 5 (x + 5) : x = 26, x = - 26

x = 26, x = - 26

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 5

Combine undefined points with solutions:

x = 26, x = - 26

\frac{10}{6 x + 7} = \frac{6}{2 x + 9}

- \frac{70}{x} = - 7

\frac{y + 6}{y} - \frac{5}{4} = 0

\frac{5}{w} = \frac{3}{w + 1}

\frac{3}{x - 2} = 5

What is the answer to x+(5-x)/(x^2-25)=5 ?
The answer to x+(5-x)/(x^2-25)=5 is x=sqrt(26),x=-sqrt(26)
Solve for x: x+(5-x)/(x^2-25)=5
The solution is x=sqrt(26),x=-sqrt(26)