Rozwiąz układ równań; 8*a +4*h=48 2*a^2+4*a*h=90

8a + 4h = 48 2a² + 4ah = 90 8a = 48 - 4h 2a² + 4ah = 90 a = 8 - 1/2h 2a² + 4ah = 90 2(8 - 1/2h)² + 4h(8 - 1/2h) = 90 2( 64 - 8h + 1/4h²) + 32h - 2h² = 90 128 - 16h + 1/2h² + 32h - 2h² = 90 - 3/2h² +16h + 38 = 0 Δ = 256 - 4 * 3/2 * 38 = 256 + 228 = 484 √Δ = 22 x1 = - 16 - 22 / -3 = 38/3 h = 38/3 lub x2 = -16 + 22 / -3 = 6 / -3 = -2 h = -2 8a + 4h = 48 8a + 4 * 33/3 = 48 8a = 4 a = 1/2 lub 8a + 4h = 48 8a - 8 = 48 8a = 40 a = 5