Question

Calcula: a – b; a Si a + b = 9 y a2 + b2 =100

Answer 1

Explicación paso a paso:

a + b = 9

a² + b² = 100

(a + b) = 9

(a + b)² = 9²

a² + 2ab + b² = 81

a² + b² + 2ab = 81

100 + 2ab = 81

2ab = - 19

ab = - 19 / 2

(a - b)² = a² - 2ab + b²

(a - b)² = a² + b² - 2 (-19/2)

(a - b)² = 100 + 19

(a - b)² = 119

a - b = ±√119