Question

rozwiaz uklad rownan

y=x^2 - 5x + 3

y= -2x+1

Answer 1

x² - 5x + 3 = - 2x + 1

x² - 5x + 2x + 3 - 1 = 0

x² - 3x + 2 = 0

Δ = 9 - 8 = 1

√Δ = 1

x₁ = (3 - 1)/2 = 2/2  = 1 

x₂ = (3 + 1)/2 = 4/2 = 2

y₁ = - 2 * x₁ + 1 = - 2 * 1 + 1 = - 1

y₂ = - 2 * x₂ + 1 = - 2 * 2 + 1 = - 3

odp

x₁ = 1 i x₂ = 2 

y₁ = - 1 i y₂ = - 3 

Answer 2

y=x^2 - 5x + 3

y= -2x+1

 

-2x+1=x^2-5x+3

x^2-3x+2=0

delta=9-4*1*2=1

x1=(3-1)/2=1

x2=(3+1)/2=2

 

x1=1

y1=-1

 

x2=2

y2=-3