What is the answer to 1/(x^2+10x+25)=4 ?

The answer to 1/(x^2+10x+25)=4 is x=-9/2 ,x=-11/2

Solve for x: 1/(x^2+10x+25)=4

The solution is x=-9/2 ,x=-11/2

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\frac{1}{x ^{2} + 10 x + 25} = 4

x = - \frac{9}{2}, x = - \frac{11}{2}

Solution steps

\frac{1}{x ^{2} + 10 x + 25} = 4

Multiply both sides by

x^{2} + 10 x + 25

1 = 4 (x^{2} + 10 x + 25)

Solve

1 = 4 (x^{2} + 10 x + 25) : x = - \frac{9}{2}, x = - \frac{11}{2}

x = - \frac{9}{2}, x = - \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{9}{2}, x = - \frac{11}{2}

\frac{7}{2 - x} = 0

\frac{2 x}{x - 1} - 2 = \frac{3}{x + 1}

\frac{4 - x}{1 - x} = \frac{12}{3 - x}

\frac{3 t ^{2} - 6}{6 t - 2} = 3

\frac{t + 9}{t + 4} = 5

What is the answer to 1/(x^2+10x+25)=4 ?
The answer to 1/(x^2+10x+25)=4 is x=-9/2 ,x=-11/2
Solve for x: 1/(x^2+10x+25)=4
The solution is x=-9/2 ,x=-11/2