Question

układ równań do obliczenia:

360/x=y

360/x-4=y+3

Answer 1

360/(x-4)=360/x+3 |*x(x-4)

360x=360(x-4)+3x(x-4)

360x=360x-1440+3x²-12x

3x²-12x-1440=0

x²-4x-480=0

Δ=(-4)²-4*1*(-480)

Δ=16+1920

Δ=1936

√Δ=44

 

x₁=(-(-4)-44)/(2*1)
x₁=-40/2

x₁=-20

x₂=(-(-4)+44)/(2*1)

x₂=48/2

x₂=24

 

y₁=360/(-20)

y₁=-18

 

y₂=360/24

y₂=15