Question

Розв'яжіть рівняння: (х – 2)(х + 2) – (х – 3)2 = 5

Answer 1

$(x - 2)(x + 2) - (x - 3) {}^{2} = 5 \\ x {}^{2} - 4 - ( {x}^{2} - 6x + 9) = 5 \\ {x}^{2} - 4 - {x}^{2} + 6x - 9 = 5 \\ 6x = 5 + 13 \\ 6x = 18 \\ x = 18 \div 6 \\ x = 3$

Answer 2

Объяснение:

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

${x}^{2} - 4 - ( {x}^{2} - 6x + 9) = 5$

${x}^{2} - 4 - {x}^{2} + 6x - 9 = 5$

$- 13 + 6x = 5$

$6x = 5 + 13$

$6x = 18$

$x = 18 \div 6$

$x = 3$