Question

Resolva as equações do segundo grau, usando a fórmula geral: a) x elevado a 2-7x+10=0 b) 7x elevado a 2+x=-1 c) x(x-2)=2(x+6)

Answer 1

Fórmula geral= -(b)+ou-Raizde delta/ 2.a

Delta = (b)² - 4*a(c)

x² - 7x + 10 = 0

Δ= 49 - 40

Δ = 9

x¹ = 7+3/2

x¹= 10/2

x¹ = 5

x²=7 -3 /2

x²= 4/2

x² = 2

7x²+x = -1

7x² + x - 1 = 0

Δ= 1 + 28

Δ= 29

x¹= 1+5/14

x¹= 6/14 :2 = 3/7

x²= 1-5/14

x²= -4/14 :2 = -2/7

x(x-2) = 2(x+6)

x²-2x= 2x+12

x² -2x - 2x - 12 = 0

x² -4x -12 = 0

Δ= 16 + 49

Δ= 64

x¹ = 4+8/2

x¹ = 12/2

x¹ = 6

x²= 4-8/2

x²= 4/2

x²= 2