1) 16 – 4y2 – y=0, a=-4, b=-1, c=16, D1=b2-4ac=, (-1)2-4*(-4)*16=257, y1,2=((-1)±√257)/2, 2) 3х2 – 15=0, a=3, b=0, c=-15, Уравнение не является полным , ⇒ переносим коэффициент с вправо, 3х2 = 15 ⇒ х2 =5 ⇒х=±√5, 3) x2 – 6х +8=0, a=1, b=-6, c=8, D3=b2-4ac=(-6)2-4*8*1=4, x1,2=(6±2)/2 ⇒ x1=4, x2=2, 4) z2 +5z +6=0, a=1, b=5, c=6, D4=b2-4ac, =52-4*6*1=25-24=1, z1,2=(-5±1)/2 ⇒ z1=-3, z2=-2, 5) x2 – 2x – 15=0, a=1, b=-2, c=-15, D5=b2-4ac, =(-2)2-4*(-15)*1=64, x1,2=(2±8)/2 , ⇒ x1=5, x2=-3, 6) y2 +7y – 8=0, a=1, b=7, c=-8, D6=b2-4ac, =72-4*(-8)*1=17, y1,2=(-7±√17)/2 .
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Квадратные уравнения. Запоминаем решения - 1
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Mathleicht
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алгебра
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