Rewrite ax² + bx + c as a(x − h)² + k. The vertex is at (h, k) — and you can solve any quadratic.
Try it
x² + 6x + 5
Half of 6 is 3. (x+3)² = x² + 6x + 9. So x² + 6x + 5 = (x+3)² − 4.
Rewrite ax² + bx + c as a(x − h)² + k. The vertex is at (h, k) — and you can solve any quadratic.
x² + 6x + 5
Half of 6 is 3. (x+3)² = x² + 6x + 9. So x² + 6x + 5 = (x+3)² − 4.