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Veseljchak [2.6K]
3 years ago
15

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the

integer?
Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

2x^2-18=9x

Subtracting 9x, we have a quadratic:

2x^2-9x-18=0

Plugging into the quadratic equation:

\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},

the square root of 81+144 is 15, so the answer is either 6 or -1.5

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