Question

resolva 20 Z² - 70Z + 10 = 0​

Answer 1

Resposta:

S = {7 - √41 /4; 7 + √41 /4}

Explicação passo-a-passo:

20z² - 70z + 10 = 0 (÷ 10)

2z² - 7z + 1 = 0

a = 2

b = (- 7)

c = 1

Δ = b² - 4ac

Δ = (- 7)² - 4 • 2 • 1

Δ = 49 - 8

Δ = 41

z = - b ± √Δ /2a

z = - (- 7) ± √41 /2 • 2

z = 7 ± √41 /4

z¹ = 7 + √41 /4

z² = 7 - √41 /4