Exercise ID302

Algebra → Quadratic equations, inequalities and systems of equations → Systems of Linear and Quadratic Equations
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Solve the following system of equations:

x2+y2=29x+y=7

x2+y2=29x+y=7 y=7-x x2+7-x2=29 x2+49-14x+x2=29 x2+49-14x+x2-29=0 2x2-14x+20=0|12 x2-7x+10=0   ;   a=1, b=-7, c=10 x1,2=-b±b2-4ac2a=7±72-4·1·102=7±49-402=7±92=7±32 x1=7+32=102  ;  x2=7-32=42 x1=5  ;  x2=2 y1=7-x1=7-5=2 y2=7-x2=7-2=5 5,2 ; (2,5)
5,2 ; (2,5)

x1,2=-b±b2-4ac2a ; ax2+bx+c=0

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