Question

решите с помощью формул сокращенного умножения
$\sqrt{\frac{149^{2}-76^{2} }{37^{2}-36^{2} } }$
$\sqrt{\frac{129^{2}-8^{2} }{93^{2}-44^{2} } }$

Answer 1

Ответ:

$1)15 \\ 2) \frac{11}{7}$

Answer 2

√║(149²-76²) / (37²-36²)║ = √║(149-76)(149+76) / (37-36)(37+36)║ =

= √║(73*225) / (1*73)║ = √225 = ± 15,

√║(129²-8²) / (93²-44²)║ = √║(129-8)(129+8) / (93-44)(93+44)║ =

= √║(121*137) / (49*137)║ = √(121/49) = ± 11/7 = ± 1 4/7