What is the answer to (x^2)/(x-1)=(x^2-16)/(x+4) ?

The answer to (x^2)/(x-1)=(x^2-16)/(x+4) is x= 4/5

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(x^2)/(x-1)=(x^2-16)/(x+4)

Solution

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}

Solution

x = \frac{4}{5}

Decimal

x = 0.8

Solution steps

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}

Simplify

\frac{x ^{2} - 16}{x + 4} : x - 4

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

Multiply both sides by

x - 1

x^{2} = x (x - 1) - 4 (x - 1)

Expand

x (x - 1) : x^{2} - x

x^{2} = x^{2} - x - 4 (x - 1)

Expand

- 4 (x - 1) : - 4 x + 4

x^{2} = x^{2} - x - 4 x + 4

Add similar elements:

- x - 4 x = - 5 x

x^{2} = x^{2} - 5 x + 4

Subtract

x^{2} - 5 x

from both sides

x^{2} - (x^{2} - 5 x) = x^{2} - 5 x + 4 - (x^{2} - 5 x)

Simplify

5 x = 4

Divide both sides by

5

x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 4

Combine undefined points with solutions:

x = \frac{4}{5}

Graph

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0=2x-(128000)/(x^2)

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Frequently Asked Questions (FAQ)

What is the answer to (x^2)/(x-1)=(x^2-16)/(x+4) ?
The answer to (x^2)/(x-1)=(x^2-16)/(x+4) is x= 4/5
Solve for x: (x^2)/(x-1)=(x^2-16)/(x+4)
The solution is x= 4/5

(x^2)/(x-1)=(x^2-16)/(x+4)

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (x^2)/(x-1)=(x^2-16)/(x+4) ?

Solve for x: (x^2)/(x-1)=(x^2-16)/(x+4)