Question

Solve the equation 9x4=25x2

Answer 1

$9 {x}^{4} = 25 {x}^{2} \\ {3}^{2} {x}^{4} - {5}^{2} {x}^{2} = 0 \\ {x}^{2} ( {(3x)}^{2} - {5}^{2} ) = 0 \\ {x}^{2} (3x - 5)(3x + 5) = 0 \\ {x}^{2} = 0 \\ x = 0 \\ 3x - 5 = 0 \\ x = \frac{5}{3} = 1 \frac{2}{3} \\ 3x + 5 = 0 \\ x = - 1 \frac{2}{3}$

Ответ: – 1⅔, 0, 1⅔.

Answer 2

Ответ: x1=0, x2=5/3, x3=-5/3.

Объяснение: