1. pierwiastkami równania x(x+8)=10-(x-2)^2 są
x(x+8)=10-(x-2)^2
x^2+8x=10-(x^2-4x+4)
x^2+8x=10-x^2+4x-4
x^2+x^2+8x-4x-6=0
2x^2+4x-6=0/2
x^2+2x-3=0
delta =4+12
delta =16
√16=4
x1=-2-4/4=-6/4=-3/2
x2=-2+4/4=2/4=1/2
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x(x+8)=10-(x-2)^2
x^2+8x=10-(x^2-4x+4)
x^2+8x=10-x^2+4x-4
x^2+x^2+8x-4x-6=0
2x^2+4x-6=0/2
x^2+2x-3=0
delta =4+12
delta =16
√16=4
x1=-2-4/4=-6/4=-3/2
x2=-2+4/4=2/4=1/2