Find the area of the triangle formed by the intersection of the parabola y = - X & # 178; - x + 6 and the coordinate axis

Find the area of the triangle formed by the intersection of the parabola y = - X & # 178; - x + 6 and the coordinate axis

X = 0, y = 6 (height of triangle)
y=0
-x²-x+6=0
(x+3)(x-2)=0
x1=-3 x2=2
|X1-x2 | = 5 (bottom of triangle)
Area of triangle = 6 * 5 / 2 = 15