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Это дискриминант.
5x^2+6x+c=0
D=36-4*5*1=36-20=16
x1=(-6-4):2*5=-10:10=-1
x2=(-6+4):2*5=-2:10=-2.
Ответ:1-ый корень равен -1,а 2-ой корень равен -2.
√51 примерно = 7,1
То есть это число заключено между двумя целыми числами 7 и 8
A) x - x/x+1 = x/1 - x/x+1 = (x+1)x/(x+1)1 - x/x+1 = (x+1)x/x+1 - x/x+1 = [x(x+1)-x]/x+1 = [x^2+x-x]/x+1 = x^2/x+1
Б) m+2/4m - 1/m+4 = [(m+4)(m+2)]/[(m+4)*4m] - [4m*1]/[4m(m+4)] = [(m+4)(m+2)-4m]/[4m(m+4)] = [m^2+2m+4m+8-4m]/[4m^2+16m] = [m^2+2m+8]/[4m^2+16m]
B) x/x+y + y/x-y = [(x-y)x]/[(x-y)(x+y)] + [(x+y)y]/[(x+y)(x-y)] = [(x-y)x]/[(x+y)(x-y)] + [(x+y)y]/[(x+y)(x-y)] = [x(x-y)+y(x+y)]/[(x+y)(x-y)] = [x^2-xy+xy+y^2]/[x^2-y^2] = [x^2+y^2]/[x^2-y^2]
Г) [3x+y]/[x(x+y)] - [x+3y]/[y^2+xy] = [3x+y]/[x(x+y)] - [x+3y]/[y(y+x)] = [y(3x+y)]/[yx(x+y)] - [x(x+3y)]/[xy(y+x)] = [y(3x+y)]/[xy(x+y)] - [x(x+3y)]/[xy(x+y)] = [y(3x+y)-x(x+3y)]/[xy(x+y)] = [3xy+y^2-x^2-3xy]/[xy(x+y)] = [(y-x)(y+x)]/[xy(x+y)] = [y-x]/xy