Question

serezolva ecuatiile: varoog frumos un ajutor

Answer 1

x² - 3x + 2 = 0

x² - x - 2x + 2 = 0

x(x - 1) - 2(x - 1) = 0

(x - 1)(x - 2) = 0

x - 1 = 0 → x = 0 + 1 = 1

x - 2 = 0 → x = 0 + 2 = 2

S = { 1 ; 2}

x² - 5x + 6 = 0

x² - 2x - 3x + 6 = 0

x(x - 2) - 3(x - 2) = 0

(x - 3)(x - 2) = 0

x - 2 = 0 → x = 0 + 2 = 2

x - 3 = 0 → x = 0 + 3 = 3

S = { 2 ; 3 }

x² - 9x + 20 = 0

x² - 4x - 5x + 20 = 0

x(x - 4) - 5(x - 4) = 0

(x - 4)(x - 5) = 0

x - 4 = 0 → x = 0 + 4 = 4

x - 5 = 0 → x = 0 + 5 = 5

S = { 4 ; 5 }

x² + 5x + 6 = 0

x² + 3x + 2x + 6 = 0

x(x + 3) + 2(x + 3) = 0

(x + 3)(x + 2) = 0

x + 3 = 0 → x = 0 - 3 = - 3

x + 2 = 0 → x = 0 - 2 = - 2

S = { - 3 ; - 2}