Question

Solve for the variable:

1. (x-3)² =
`x^(2)` - 10x +25
2. (x+4)³ = x³ + 12x² - 16x

Answer 1

The answer to your question is:

1) x = 4

2) x = -2

Explanation:

a) (x-3)² = x^{2} - 10x +25

x² - 6x + 9 = x² - 10x + 25

10x - 6x = 25 - 9

4x = 16

x = 4

b)

(x+4)³ = x³ + 12x² - 16x

x³ + 3(x²)4 + 3x(16) + 4³= x³ + 12x² - 16x

x³ + 12x² + 48x + 64 = x³ + 12x² - 16x

48x + 64 = 16x

48x - 16x = -64

32 x = -64

x = -64/2

x = -2