Question

O valor de x na equação 72x – 6x² = 216 é *

Answer 1

Resposta:

x = 6

Explicação passo a passo:

72x – 6x² = 216

–6x² + 72x = 216

(–6x² + 72x) / 6 = 216 / 6

–x² + 12x = 36

–x² + 12x – 36 = 0

Para ax² + bx + c = 0

a = (–1) , b = 12 , c = (–36)

Fórmula de Bhaskara:

x = [–b ± √(b² – 4 × a × c)] / [2 × a]

x = [–12 ± √(12² – 4 × (–1) × (–36))] / [2 × (–1)]

x = [–12 ± √(144 – 4 × 36)] / [–2]

x = [–12 ± √(144 – 144)] / [–2]

x = [–12 ± √0] / [–2]

x = [–12 ± 0] / [–2]

x = [–12] / [–2]

x = 12 / 2

x = 6