Question

Resolva esta equação: 16 x2 + 24 x + 9 = 100.

Answer 1

Resposta:

16x² + 24 x + 9 = 100

16x² + 24x + 9 - 100 = 0

16x² + 24x - 91 = 0

Δ = b² - 4ac

Δ = (24)² - 4 × 16 × (- 91)

Δ = 576 + 5824

Δ = 6400

x = -b +- √Δ / 2a

x' = - 24 + √6400 / 2 × 16

x' = -24 + 80 /32

x' = 56 / 32

x' = 1,75

x" = - 24 - √6400 / 2 × 16

x" = - 24 - 80 / 32

x" = -104 / 32

x" = - 3,25