Question

Dada a função h(x) = 9x2 – 8x – 1, determine os valores para os quais h(x) = 0

Answer 1

Resposta:

x' = –1/9

x'' = 1

Explicação passo a passo:

h(x) = 9x² – 8x – 1

h(x) = 0

9x² – 8x – 1 = 0

x = (–b ± √(b² – 4 • a • c)) / (2 • a)

x = (–(–8) ± √((–8)² – 4 • 9 • (–1))) / (2 • 9)

x = (8 ± √(64 – 4 • (–9))) / 18

x = (8 ± √(64 + 36)) / 18

x = (8 ± √100) / 18

x = (8 ± √10²) / 18

x = (8 ± 10) / 18

x' = (8 – 10) / 18

x' = – 2 / 18

x' = – 1 / 9

x'' = (8 + 10) / 18

x'' = 18 / 18

x'' = 1