Question

Реши уравнения х+11)²-х²=11
2. 69-(13-у)²=-у²​

Answer 1

1)

$(x + 11) {}^{2} - {x}^{2} = 11 \\ {x}^{2} + 22x + 121 - {x}^{2} = 11 \\ 22x = 11 - 121 \\ 22x = - 110 \\ x = \frac{ - 110}{22} = - 5$

X = -5

2)

$69 = - {y}^{2} + (13 - y) {}^{2} \\ 69 = 169 - 26y + {y}^{2} - {y}^{2} \\ 69 - 169 = - 26y \\ 26y = 100 \\ \:$

$y = \frac{100}{26} = 3 \: \frac{11}{13} \:$