уравнение 1 :
x^2 + 8x + 15 = 0
D = b^2 - 4ac
D = 8^2 - 4 * 1 * 15 = 64 - 60 = 4 = √2
D>0, уравнение имеет 2 корня
х1, 2 = - b ± √D / 2a
x1 = - 8 + 2 / 2 = -6/2 = - 3
x2 = - 8 - 2 / 2 = - 10/2 = - 5
ответ: х1 = -3 , х2 = -5 .
уравнение 2:
5x^2 - 8x + 3 = 0
D = b^2 - 4ac
D = (-8)^2 - 4 * 5 * 3 = 64 - 60 = 4 = √2
x1 = 8 + 2 / 10 = 1
х2 = 8 - 2 / 10 = 6/10 = 3/5
ответ: х1 = 1 , х2 = 3/5 .
уравнение 3 :
x^2 - 2x - 2 = 0
D = b^2 - 4ac
D = (-2)^2 - 4 * 1 * (-2) = 4 + 8 = 12
x1 = 2 + 2√3 / 2 = 1+√3
x2 = 2 - 2√3 / 2 = 1-√3
ответ: х1 = 1+√3 , х2 = 1-√3 .
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ответ 4
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x^2+8x+15=0;
D=64-60=4
X1=-8+2
2
X1=-3
X2=-8-2
2
X2=-5
ответ: -3; -5.
5x^2-8x+3=0;
D=64-60=4
x1=8+2
10
x1=1
x2= 8-2
10
x2= 3/5
ответ: 1; 3/5.
x^2-2x-2=0.
D=4+8=12
х1= 2+ 2√3
2
х1=1+√3
x2=2-2√3
2
x2=1-√3
ответ: 1+√3; 1-√3.
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