M^2+n^2/m^2*n^2 = 30

1/n-1/m=5

1/m+1/n=?

Question

Алгебра

Калида

3 ноября, 12:34

M^2+n^2/m^2*n^2 = 30

1/n-1/m=5

1/m+1/n=?

+1

Ответы (1)

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Сильвана · Answer 1

(m²+n²) / (m²*n²) = 30⇔m² / (m²*n²) + n² / (m²*n²) = 30⇔ 1/n² + 1/m² = 30⇔

2 * (1/n² + 1/m²) = 60.⇒ (1/n-1/m) ² + (1/n+1/m) ² = 60, но 1/n - 1/m = 5.

5² + (1/n+1/m) ² = 60;

(1/n+1/m) ² = 60-25;

1/n+1/m = ± √35.

M^2+n^2/m^2*n^2 = 301/n-1/m=51/m+1/n=?

M^2+n^2/m^2*n^2 = 30

1/n-1/m=5

1/m+1/n=?