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voxar
@voxar
March 2022
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номер 10 пожалуйста
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Godnessgirl
Пусть заданы х1, х2, х3 - арифм. прогр.
х1+х2+х3=21
х2=х1+d
x3=x1+2d
х1+х1+d+x1+2d=21
3x1+3d=21 | :3
x1+d=7=x2
x1+x3=21-7=14
x1=14-x3
b1=x1+2=14-x3+2=16-x3, b2=x2+3=7+3=10, b3=x3+9 - геом. пр.
b2=b1*q
b3=b2*q
10=(16-x3)q
x3+9=10q
10=16q-qx3
x3=10q-9
10=16q-q(10q-9)
10=16q-10q²+9q
10q²-25q+10=0 :5
2q²-5q+2=0
D=25-4*2*2=25-16=9=3²
q1=(5-3)/(2*2)=2/4=0,5
q2=(5+3)/(2*2)=8/4=2
x3,1=10*0,5-9=-4
x3,2=10*2-9=11
x1,1=14-(-4)=18
x1,2=14-11=3.
х1=18, х2=7, х3=-4
или
х1=3, х2=7, х3=11
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Answers & Comments
х1+х2+х3=21
х2=х1+d
x3=x1+2d
х1+х1+d+x1+2d=21
3x1+3d=21 | :3
x1+d=7=x2
x1+x3=21-7=14
x1=14-x3
b1=x1+2=14-x3+2=16-x3, b2=x2+3=7+3=10, b3=x3+9 - геом. пр.
b2=b1*q
b3=b2*q
10=(16-x3)q
x3+9=10q
10=16q-qx3
x3=10q-9
10=16q-q(10q-9)
10=16q-10q²+9q
10q²-25q+10=0 :5
2q²-5q+2=0
D=25-4*2*2=25-16=9=3²
q1=(5-3)/(2*2)=2/4=0,5
q2=(5+3)/(2*2)=8/4=2
x3,1=10*0,5-9=-4
x3,2=10*2-9=11
x1,1=14-(-4)=18
x1,2=14-11=3.
х1=18, х2=7, х3=-4
или
х1=3, х2=7, х3=11