Решение
<span>a) (7√5-√11)(√11+7√5)-√2*√32 = (7</span>√5)² - (√11)² - √(2*32) =
= 49*5 - 11 - √64 = 245 - 11 - 8 = 226
4×(-√3/2)= -√12
сокращаем 4 и 2 остается в числителе 2 заносим под корень и получится √12 или 2√3
^-степень
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16а^6 100m^8 n^4 (25/81x)^6 y^12 (169/225a)^10 b^2 p^14 0,0289x^12/y^18
a)
![5x^2+x=0\\ x(5x+1)=0\\ \\ \left \{ {{x_1=0} \atop {5x+1=0}} \right. =>\left \{ {{x_1=0} \atop {x_2=-\frac{1}{5} }} \right.](https://tex.z-dn.net/?f=5x%5E2%2Bx%3D0%5C%5C+x%285x%2B1%29%3D0%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7B%7Bx_1%3D0%7D+%5Catop+%7B5x%2B1%3D0%7D%7D+%5Cright.+%3D%3E%5Cleft+%5C%7B+%7B%7Bx_1%3D0%7D+%5Catop+%7Bx_2%3D-%5Cfrac%7B1%7D%7B5%7D+%7D%7D+%5Cright.)
б)
![(6-3x)^2=4x-8\\36-36x+9x^2-4x+8=0\\ 44-40x+9x^2=0\\ 9x^2-40x+44=0\\ 9x^2-18x-22x+44=0\\ 9x(x-2)-22(x-2)=0\\(x-2)(9x-22)=0\\\\\left \{ {{x-2=0} \atop {9x-22=0}} \right. =>\left \{ {{x_1=2} \atop {x_2=\frac{22}{9} }} \right.](https://tex.z-dn.net/?f=%286-3x%29%5E2%3D4x-8%5C%5C36-36x%2B9x%5E2-4x%2B8%3D0%5C%5C+44-40x%2B9x%5E2%3D0%5C%5C+9x%5E2-40x%2B44%3D0%5C%5C+9x%5E2-18x-22x%2B44%3D0%5C%5C+9x%28x-2%29-22%28x-2%29%3D0%5C%5C%28x-2%29%289x-22%29%3D0%5C%5C%5C%5C%5Cleft+%5C%7B+%7B%7Bx-2%3D0%7D+%5Catop+%7B9x-22%3D0%7D%7D+%5Cright.+%3D%3E%5Cleft+%5C%7B+%7B%7Bx_1%3D2%7D+%5Catop+%7Bx_2%3D%5Cfrac%7B22%7D%7B9%7D+%7D%7D+%5Cright.)
можно было решить дискриминантом
в)
![2x^3-10x^2+3x-15=0\\2x^2(x-5)+3(x-5)=0\\(x-5)(2x^2+3)=0\\\\x-5=0\\x_1=5\\\\2x^2=-3\\x \in \emptyset\\\\x=5](https://tex.z-dn.net/?f=2x%5E3-10x%5E2%2B3x-15%3D0%5C%5C2x%5E2%28x-5%29%2B3%28x-5%29%3D0%5C%5C%28x-5%29%282x%5E2%2B3%29%3D0%5C%5C%5C%5Cx-5%3D0%5C%5Cx_1%3D5%5C%5C%5C%5C2x%5E2%3D-3%5C%5Cx+%5Cin+%5Cemptyset%5C%5C%5C%5Cx%3D5)