Question

розв'яжіть рівння
(х-4)(х+4)-(х-5)²=3 ​

Answer 1

Ответ:

$\frac{22}{5}$

Объяснение:

$(x - 4)(x +4) - (x - 5 {)}^{2} = 3$

${x}^{2} - 16 - (x - 5 {)}^{2} = 3$

${x}^{2} - 16 - ( {x}^{2} - 10x + 25) = 3$

${x}^{2} - 16 - {x}^{2} + 10x - 25 = 3$

$- 16 + 10x - 25 = 3$

$- 41 + 10x = 3$

$10x = 3 + 41$

$10x = 44$

$x = 10 \div 44$

$x = \frac{22}{5}$

______________________________

$( \frac{22}{5} - 4)( \frac{22}{5} + 4) - ( \frac{22}{5} - 5 {)}^{2} = 3$

$3 = 3$