Ответ:
Ответ показан на фотографии
√(56*21*14)=√(16464)=128.31211946
D=b₂-4ac
![x_{1}= \frac{-b- \sqrt{D} }{2a} \\ x_{2}= \frac{-b+ \sqrt{D} }{2a}](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B-b-+%5Csqrt%7BD%7D+%7D%7B2a%7D++%5C%5C+x_%7B2%7D%3D+%5Cfrac%7B-b%2B+%5Csqrt%7BD%7D+%7D%7B2a%7D)
х²-11х-60=0
D=(-11)²-4* (-60)=121+240=361
![x_{1}= \frac{11- \sqrt{361} }{2*1} =\frac{11- 19 }{2} = \frac{-8}{2} =-4 \\ x_{2}= \frac{11+ \sqrt{361} }{2*1} =\frac{11+ 19 }{2} = \frac{30}{2}=15](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B11-+%5Csqrt%7B361%7D+%7D%7B2%2A1%7D+%3D%5Cfrac%7B11-+19+%7D%7B2%7D+%3D+%5Cfrac%7B-8%7D%7B2%7D+%3D-4+%5C%5C+x_%7B2%7D%3D+%5Cfrac%7B11%2B+%5Csqrt%7B361%7D+%7D%7B2%2A1%7D+%3D%5Cfrac%7B11%2B+19+%7D%7B2%7D+%3D+%5Cfrac%7B30%7D%7B2%7D%3D15+)
5x²-18x+16=0
D=(-18)²-4*5*16=324-320=4
![x_{1}= \frac{18- \sqrt{4} }{2*5} =\frac{18- 2 }{10} = \frac{16}{10} =1,6 \\ x_{2}= \frac{18+ \sqrt{4} }{2*5} =\frac{18+ 2 }{10} = \frac{20}{10} =2](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B18-+%5Csqrt%7B4%7D+%7D%7B2%2A5%7D+%3D%5Cfrac%7B18-+2+%7D%7B10%7D+%3D+%5Cfrac%7B16%7D%7B10%7D+%3D1%2C6+%5C%5C+x_%7B2%7D%3D++%5Cfrac%7B18%2B+%5Csqrt%7B4%7D+%7D%7B2%2A5%7D+%3D%5Cfrac%7B18%2B+2+%7D%7B10%7D+%3D+%5Cfrac%7B20%7D%7B10%7D+%3D2)
-4x²+7x+2=0
D=7²-4*(-4)*2=49+32=81
![x_{1}= \frac{-7- \sqrt{81} }{2*(-4)}=\frac{-7- 9 }{-8} = \frac{-16}{-8}=2 \\ x_{2}=\frac{-7+\sqrt{81} }{2*(-4)}=\frac{-7+9 }{-8} = \frac{2}{-8}= -\frac{1}{4}](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B-7-+%5Csqrt%7B81%7D+%7D%7B2%2A%28-4%29%7D%3D%5Cfrac%7B-7-+9+%7D%7B-8%7D+%3D+%5Cfrac%7B-16%7D%7B-8%7D%3D2+%5C%5C+x_%7B2%7D%3D%5Cfrac%7B-7%2B%5Csqrt%7B81%7D+%7D%7B2%2A%28-4%29%7D%3D%5Cfrac%7B-7%2B9+%7D%7B-8%7D+%3D+%5Cfrac%7B2%7D%7B-8%7D%3D+-%5Cfrac%7B1%7D%7B4%7D+)
25=26x-x²
-x²+26x-25=0
D=26²-4*(-25)*(-1)=676-100=567
![x_{1}= \frac{-26- \sqrt{567} }{2*(-1)}= \frac{-26-24}{-2}= \frac{-50}{-2} =25 \\ x_{2}= \frac{-26+ \sqrt{567} }{2*(-1)}= \frac{-26+24}{-2}= \frac{-2}{-2} =1 \\](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B-26-+%5Csqrt%7B567%7D+%7D%7B2%2A%28-1%29%7D%3D+%5Cfrac%7B-26-24%7D%7B-2%7D%3D+%5Cfrac%7B-50%7D%7B-2%7D+%3D25++%5C%5C+x_%7B2%7D%3D+%5Cfrac%7B-26%2B+%5Csqrt%7B567%7D+%7D%7B2%2A%28-1%29%7D%3D+%5Cfrac%7B-26%2B24%7D%7B-2%7D%3D+%5Cfrac%7B-2%7D%7B-2%7D+%3D1++%5C%5C++)
(x+1)²=7918-2x
x²+2x+1=7918-2x
x²+2x+2x+1-7918=0
x²+4x-7917=0
D=4²-4*(-7917)=16+31668=31684
![x_{1}= \frac{-4- \sqrt{31684} }{2}= \frac{-4-178}{-2}= \frac{-182}{-2} =91 \\ x_{2}= \frac{-4+ \sqrt{31684} }{2}= \frac{-4+178}{-2}= \frac{174}{-2} =-87](https://tex.z-dn.net/?f=x_%7B1%7D%3D+%5Cfrac%7B-4-+%5Csqrt%7B31684%7D+%7D%7B2%7D%3D+%5Cfrac%7B-4-178%7D%7B-2%7D%3D+%5Cfrac%7B-182%7D%7B-2%7D+%3D91+%5C%5C+x_%7B2%7D%3D+%5Cfrac%7B-4%2B+%5Csqrt%7B31684%7D+%7D%7B2%7D%3D+%5Cfrac%7B-4%2B178%7D%7B-2%7D%3D+%5Cfrac%7B174%7D%7B-2%7D+%3D-87)
6x²-16x=0
6x²-16x=0
2x(3x-8)=0
![\left \{ {{2x=0} \atop {3x-8=0}} \right. \\ \left \{ {{x= \frac{0}{2} } \atop {3x=8}} \right. \\ \left \{ {{x=0} \atop {x= \frac{8}{3} }} \right. \\](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2x%3D0%7D+%5Catop+%7B3x-8%3D0%7D%7D+%5Cright.++%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%3D+%5Cfrac%7B0%7D%7B2%7D+%7D+%5Catop+%7B3x%3D8%7D%7D+%5Cright.++%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%3D0%7D+%5Catop+%7Bx%3D+%5Cfrac%7B8%7D%7B3%7D+%7D%7D+%5Cright.++%5C%5C+)
Неверные ответы 1 и 4.
1). Так как a > 0 и b < 0, то b³ < 0 и ab³ < 0
4). Так как |a| > |b|, и а > 0, то a + b > 0
Ответ: 2). 1; 4.
10 - 3b при b = -4
10 - 3 * (-4) = 10 + 12 = 22