Verified answer

Resposta:

-6 - 2√14.

Explicação passo-a-passo:

To solve the equation x² + 12x - 20 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Here, a = 1, b = 12, and c = -20.

Plugging in these values, we have:

x = (-12 ± √(12² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (-12 ± √(144 + 80)) / 2

x = (-12 ± √(224)) / 2

x = (-12 ± √(16 * 14)) / 2

x = (-12 ± 4√14) / 2

x = -6 ± 2√14

Therefore, the solutions to the equation x² + 12x - 20 = 0 are x = -6 + 2√14 and x = -6 - 2√14.