x^3+7x^2-6=0
x^3 + x^2 + 6x^2 +6x -6x - 6=0
x^2(x+1) + 6x( x+1) -6( x+1)=0
(x+1) ( x^2 +6x-6)=0
x+1=0 или x^2 +6x-6=0
x1= - 1
x^2 +6x-6=0
D= 6^2 - 4*(-6)= 36 +24=60
x2= ( -6 +\| 60) / 2*1= (-6 +\| 60)/2= - 3+\|15
x3= ( -6 - \| 60) / 2*1= (-6 - \| 60)/2 = -3 - \|15
ответь ; x1= -1 ; x2= -3+\|15 ; x 3 = - 3-\|15
x^3+7x^2-6=0
x^3 + x^2 + 6x^2 +6x -6x - 6=0
x^2(x+1) + 6x( x+1) -6( x+1)=0
(x+1) ( x^2 +6x-6)=0
x+1=0 или x^2 +6x-6=0
x1= - 1
x^2 +6x-6=0
D= 6^2 - 4*(-6)= 36 +24=60
x2= ( -6 +\| 60) / 2*1= (-6 +\| 60)/2= - 3+\|15
x3= ( -6 - \| 60) / 2*1= (-6 - \| 60)/2 = -3 - \|15
ответь ; x1= -1 ; x2= -3+\|15 ; x 3 = - 3-\|15