Answer:
x = (-1 + √(26)i)/9
x = (-1 - √(26)i)/9
Step-by-step explanation:
If we have an equation of the form ax² + bx + c = 0, we can solve it using the quadratic equation
In this case, the given equation is
9x² + 2x = -3
This can be rewritten as
9x² + 2x + 3 = -3 + 3
9x² + 2x + 3 = 0
So, a = 9, b = 2 and c = 3. Therefore, the solutions using the quadratic equation are
therefore, the solutions are
x = (-1 + √(26)i)/9
x = (-1 - √(26)i)/9