Question

6x³ - 9x² + 10x - 15 = 0

Answer 1

$6 {x}^{3} - 9 {x}^{2} + 10x - 15 = 0 \\ 3 {x}^{2} x(2x - 3) + 5(2x - 3) = 0 \\ (2x - 3) \times (3 {x}^{2} + 5) = 0 \\ 2x - 3 = 0 \\ 3 \times {x}^{2} + 5 = 0 \\ x = \frac{3}{2}$


ESPERO TER AJUDADO (=

Answer 2

6x³ - 9x² + 10x - 15 = 0

(6x³ - 9x²) + (10x - 15) = 0

3x²(2x - 3) + 5(2x - 3) = 0

(2x - 3) (3x² + 5) = 0

2x - 3 = 0 => 2x = 3 => x = 3/2

3x² + 5 = 0 => 3x² = -5 => x² = -5/3 => x = +-√-5/3
x = +√-5/3
x = -√-5/3