If p and q are the roots of 2x²+ 6x = 12 + 4x, and p < q, find q − p​

Step-by-step explanation:

The given equation can be further simplified into

The roots of a quadratic equation is given by

where a = 2, b = 2 and c = -12. Putting these into the roots equation, we get

This gives us two possible roots:

x = 2, x = -3

Since the condition is that p < q, we see that p = -3 and q = 2. Therefore,

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

1.3 million hoops i believe