Question

Solve this
y = x2 + x-6

Answer 1

x=2

bc
0=2x+x-6
0=3x-6
-3x=-6
x=2

Answer 2

x = -3 ; x = 2

Explanation:

If what is requested is to find the answers to y = 0 (crossing of the x-axis) of the parabola given by the equation:

y = x^2 + x - 6

Then, we proceed to create the equality:

x^2 + x - 6 = 0

and use factoring by grouping:

x^2 + 3 x - 2 x - 6 = 0

x (x + 3) - 2 (x + 3) = 0

(x + 3) (x - 2) = 0

Then for this product to be zero, either (x+3) or (x-2) have to be zero. which means either x = -3 or x = 2

Then, the two solutions for the crossings of the x-axis are: x = -3 ; x = 2