Решить систему уравнений x^2-y=28

x-y=2

Y=x-2

x²-x+2=28

x²-x-26=0

D=1+676=677

x1 = (1-√677) / 2⇒y1 = (1-√677) / 2-2 = (-3-√677) / 2

x2 = (1+√677) / 2⇒y2 = (-3+√677) / 2

x-2y=-28; x-y=-2

Solution:

{x, y} = {24,26}

System of Linear Equations entered:

[1] x - 2y = - 28 [2] x - y = - 2

Graphic Representation of the Equations:

-2y + x = - 28 y + x = - 2

olve by Substitution:

/ / Solve equation [2] for the variable x

[2] x = y - 2

/ / Plug this in for variable x in equation [1]

[1] (y - 2) - 2y = - 28 [1] - y = - 26

/ / Solve equation [1] for the variable y

[1] y = 26

/ / By now we know this much:

x = y-2 y = 26

/ / Use the y value to solve for x

x = (26) - 2 = 24

Solution:

{x, y} = {24,26}