-9x^2 + x +3 = 0 [solve by quadratic formula] answer can also have imaginary unit i

Question

asked Jan 23, 2024 228k views

2 Answers

HerbCSO · Answer 1 · 2024-01-30T05:23:22+0000

Hello!

Answer:

$\Large \boxed{\sf x =(-1\pm √(109) )/(-18)}$

Explanation:

→ We want to solve this equation:

$\sf -9x^2 + x +3 = 0$

→ It's a quadratic equation because it's on the form ax² + bx + c = 0.

→ To solve a quadratic equation, there is the quadratic formula:

$\sf x =(-b\pm √(b^2 - 4ac) )/(2a)$

→ In our equation:

$\sf a = -9\\b = 1\\c = 3$

→ Let's apply the quadratic formula:

$\sf x =(-1\pm √(1^2 - 4*(-9)*3) )/(2 * (-9))$

→ Simplify the equation:

$\sf x =(-1\pm √(109) )/(-18)$

Conclusion:

The solution of the equation -9x² + x + 3 = 0 is (-1±√109)/-18.