Solve each quadratic system 1. -x+y=4 y=x^2-4x+2  

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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`-x+y=4`

`y=x^2-4x+2`

Replace y with function of x.

`-x+x^2-4x+2 = 4`

`x^2-5x-2 = 0`

 

This can be solved by the quadratic equation.

`x = (-(-5)+-sqrt((-5)^2-4xx1xx(-2)))/(2xx1)`

`x = (5+-sqrt(33))/2`

`x = (5+sqrt(33))/2 = 5.3723`

`x = (5-sqrt(33))/2 = -0.3723`

 

So the answers are;

x = 5.3723

x = -0.3723

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