jika m dan n memenuhi (1/m²) - (2/n²) = 2 (3/m²) - (4/n²) = 2 maka m.n = .... a. 1/8 b. 1/4 c, 1/2 d. 1 e. 2

Misalkan,
[tex] \frac{1}{m^2} = x \\ \frac{1}{n^2} = y [/tex]

x - 2y = 2
3x - 4y = 8

3x - 4y = 8
2x - 4y = 4
________(-)
x = 4

x - 2y = 2
4 - 2y = 2
2y = 2
y = 1

[tex] x = 4 \\ \frac{1}{m^2} = 4 \\ m^2 = \frac{1}{4} \\ m = +- \frac{1}{2} \\ {} \\ y = 1 \\ \frac{1}{n^2} = 1 \\ n = +- 1 [/tex]

mn
= (±1/2)(±1)
= ±1/2
[C]