What is the solution for x² 12x -35?

Answer 1

To solve the equation (x^2 + 12x - 35 = 0), we can use the quadratic formula (x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a}), where (a = 1), (b = 12), and (c = -35). Plugging in these values gives us (x = \frac{{-12 \pm \sqrt{{12^2 - 4 \cdot 1 \cdot (-35)}}}}{2 \cdot 1}). This simplifies to (x = \frac{{-12 \pm \sqrt{{144 + 140}}}}{2}), or (x = \frac{{-12 \pm \sqrt{284}}}{2}). Thus, the solutions are (x = -6 \pm \sqrt{71}).