QUESTION IMAGE
Question
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.
Step1: Identify quadratic coefficients
For $-3x^2 + 5x - 7 = 0$, we have $a=-3$, $b=5$, $c=-7$.
Step2: Calculate discriminant
The discriminant formula is $\Delta = b^2 - 4ac$.
$\Delta = 5^2 - 4(-3)(-7) = 25 - 84 = -59$
Step3: Analyze discriminant value
Since $\Delta = -59 < 0$, there are no real solutions to the quadratic equation.
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There are no real solutions, so all boxes are removed.