Solve the quadratic equation

-3x^2 + 5x - 7=0
Write one exact solution in each box. You can add or remove boxes. If there are no real solutions, remove all boxes

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the quadratic equation \(-3x^2 + 5x - 7 = 0\), we can use the quadratic formula:

\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]

Here, \(a = -3\), \(b = 5\), and \(c = -7\).

First, calculate the discriminant \(b^2 - 4ac\):

\[ b^2 = 5^2 = 25 \] \[ 4ac = 4 \cdot (-3) \cdot (-7) = 12 \cdot 7 = 84 \] \[ b^2 - 4ac = 25 - 84 = -59 \]

Since the discriminant is negative (\(-59\)), there are no real solutions.

Therefore, we remove all boxes.