Exercise ID245

Algebra → Irrational Equations → Négyzetgyököt tartalmazó egyenletek
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Solve the following equation.

2x2-x=x-2

2x2-x=x-2 x-20  x2  2x2-x2=x-22 2x2-x=x-2 2x2-x=x2-4x+4 2x2-x-x2+4x-4=0 x2+3x-4=0 a=1 , b=3 , c=-4 x1,2=-3±32-4·1·-42·1=-3±9+162=-3±252=-3±82 x1=-3+52=22  x2=-3-52=-82 x1=1 x2=-4 x=1 x=-4 x2x x
x

x1,2=-b±b2-4ac2a ; ax2+bx+c=0

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