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y=-x2(do kwadratu) + 2x + 9 i y= -2x + 5
y = -x² +2x +9
y = -2x +5
porownuje stronami
-x² +2x +9 = -2x + 5
-x² +2x + 9 +2x -5 = 0
-x² + 4x +4 = 0
Δ = 4² -4*(-1)*4= 16 + 16 = 32
√Δ = √32 = √16*√2 = 4√2
x1 = (-4 -4√2): 2*(-1) = (-2)( 2 + 2√2): (-2) = 2 + 2√2
x2 = (-4 +4√2): 2*(-1) = (-2)( 2 -2√2): (-2) = 2 -2√2
obliczam y1 i y2
y = -2x +5
y1 = -2*(2 +2√2) + 5
y1 = -4 -4√2 +5
y1 = 1 - 4√2
y2 = -2*(2 -2√2) + 5
y2 = -4 + 4√2 +5
y2 = 1 + 4√2
P1 = [( 2 + 2√2), ( 1 - 4√2)]
P2 = [( 2 - 2√2), (1 + 4√2)]