How to factor this?
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Your question is not factor this. It is solve this.
Well you are correct up to, x + ( x + 1 )² = 5; but then you are not correct.
Expanding the above, and simplifying, x² + 3x - 4 = 0
==> x² + 4x - x - 4 = 0
==> x(x + 4) - 1(x + 4) = 0
==> (x + 4)(x - 1) = 0; so either x = -4 or 1
So, y = 9 or 4
Thus the two points of intersection are: (-4, 9) (1, 4)
Well you are correct up to, x + ( x + 1 )² = 5; but then you are not correct.
Expanding the above, and simplifying, x² + 3x - 4 = 0
==> x² + 4x - x - 4 = 0
==> x(x + 4) - 1(x + 4) = 0
==> (x + 4)(x - 1) = 0; so either x = -4 or 1
So, y = 9 or 4
Thus the two points of intersection are: (-4, 9) (1, 4)
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What?