Question

valendo 100 pontos. ​

Answer 1

2x²+5x-3=0

dividindo por 2

x²+5x/2-3/2=0

completando os quadrados

x²+5x/2 +(5/4)² -(5/4)²-3/2 =0

(x+5/4)² -25/16 -24/16=0

(x+5/4)²-49/16=0

(x+5/4)²=49/16

x+5/4 =±√(49/16)

x+5/4 =±7/4

x'=-5/4+7/4 =1/2

x''=-5/4-7/4=-3

Resposta:  {-3 e 1/2}

Answer 2

a = 2

Equação: 2x² + 5x - 3 = 0 b = 5

c = -3

Dividindo Por 2

x² + 5x/2 - 3/2 = 0

a(x - -b + √b² - 4ac/2a)

(x - -b - √b² - 4ac/2a)

a = 1 b = 5/2 c = - 3/2

(x - - 5/2 + √(5/2)² - 4 × -3/2 / 2)

(x - - 5/2 - √(5/2)² - 4 × -3/2 / 2)

(x - 1/2) (x + 3)

(x - 1/2) (x + 3) = 0

x = 1/2, -3

S = { 1/2, -3}