What is the answer to -5/((x-5)^2)=-1.25 ?

The answer to -5/((x-5)^2)=-1.25 is x=7,x=3

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-5/((x-5)^2)=-1.25

- \frac{5}{( x - 5 ) ^{2}} = - 1.25

x = 7, x = 3

Solution steps

- \frac{5}{( x - 5 ) ^{2}} = - 1.25

Multiply both sides by

(x - 5)^{2}

- 5 = - 1.25 (x - 5)^{2}

Solve

- 5 = - 1.25 (x - 5)^{2} : x = 7, x = 3

x = 7, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 7, x = 3

1 + \frac{1}{x + 4} = \frac{x + 5}{x ^{2} - x - 20}

1 + \frac{1}{x - 4} = \frac{4}{x ^{2} - 4 x}

x - \frac{2 x + 7}{x - 3} = \frac{x}{x - 3}

\frac{5}{a} + \frac{3}{4} = \frac{1}{a}

0 = 1 - \frac{1}{x - 3}

What is the answer to -5/((x-5)^2)=-1.25 ?
The answer to -5/((x-5)^2)=-1.25 is x=7,x=3
Solve for x: -5/((x-5)^2)=-1.25
The solution is x=7,x=3