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Nikitich [7]
3 years ago
7

Solve the equation for X.

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

x = - \frac{11}{8}

Step-by-step explanation:

Given

(x - 4) - (x + 7 ) = 8x

Distribute parenthesis noting second is distributed by - 1

x - 4 - x - 7 = 8x ← simplify left side

- 11 = 8x ( divide both sides by 8 )

x = - \frac{11}{8}

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Answer:

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Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

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9(x-0)^2-25(y-5)^2=225

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9x^2-25(y^2-10y+25)=225

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Rewrite in general form;

9x^2-25y^2+250y-625-225=0

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