Question

Решить уравнение (y^3-8)(1-y)=0

Answer 1

$\displaystyle \tt (y^3-8)(1-y)=0\\\\ \displaystyle \tt y^3-8=0\\\displaystyle \tt y^3=8\\\displaystyle \tt \bold{y_1=2}\\\\ \displaystyle \tt 1-y=0\\\displaystyle \tt 1=y\\\displaystyle \tt \bold{y_2=1}$

Answer 2

To solve the equation (y^3 - 8)(1 - y) = 0, we need to find the values of y that make the left-hand side of the equation equal to zero. This means that either (y^3 - 8) = 0 or (1 - y) = 0.

1. Solving (y^3 - 8) = 0: y^3 - 8 = 0 y^3 = 8 y = ∛8 y = 2

2. Solving (1 - y) = 0: 1 - y = 0 y = 1

So the solutions to the equation are y = 2 and y = 1.