Question

Ao resolver a equação literal x² - 2abx - 8a²b² Determine as raízes

Answer 1

Resposta:

As raízes são -2ab e 4ab

Explicação passo a passo:

x² - 2abx - 8a²b² = 0

a = 1

b = -2ab

c = -8a²b²

Δ = b²-4ac

Δ = (-2ab)² -4(1)(-8a²b²)

Δ = 4a²b² +32a²b²

Δ = 36a²b²

$x={-b\pm\sqrt{\Delta} \over2a}\\ \\ x={-(-2ab)\pm\sqrt{36a^2b^2} \over2(1)}={2ab\pm6ab\over2}\\ \\ x'={2ab-6ab\over2}=-{4ab\over2}=-2ab\\ \\ x"={2ab+6ab\over2}={8ab\over2}=4ab$