Which equation is true for x = -6 and x = 2?
2x² - 16x + 12 = 0
2x² + 8x - 24 = 0
3x² - 4x - 12 = 0
3x² + 12x + 36 = 0 

Solution:

Given x = -6 and x = 2

If these are roots of the equation, then they can be written as (x - a)(x - b)

so,(x - (-6))(x - 2)

=(x + 6)(x - 2)

= (x² - 2x + 6x - 12)

= (x² + 4x - 12)

Multiply this equation with ‘2’, we get

2x² + 8x - 24

Hence, this is the required equation

Which equation is true for x = -6 and x = 2?

Summary:

2x² + 8x - 24 equation is true for x = -6 and x = 2.