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Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
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Respuesta :

adioabiola

The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).

Which numbers hold true for the situation?

The system of equations which model the situation is;

x²- y² = 15

2x² - y² = 30.

Hence, by subtracting equation 1 from 2; we have;

x² = 15

x = ±√15.

and hence by substitution; the value of y is;

(√15)² + y = 15

y = 0.

Hence, the required values of the numbers are;

(-√15, 0) and (+√15, 0).

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