A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0
The option that gives the true statement about the quadratic equation is option C.
C. There are two complex solutions
Reason:
The given quadratic equation can be presented as follows;
y = -2·x² + 9·x - 12
The factored form of the quadratic equation is presented as follows;
The radical of the given quadratic equation is therefore;
[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;
[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]
[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]
Therefore there are two complex solutions;
Learn more about quadratic equations here:
https://brainly.com/question/12402430
Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
