Question

Which statement is true about this quadratic equation? y=-2x^2+9x-12 A. There are two real solutions. B. There is one complex solution. C. There are two complex solutions. D. There is one real solution.

Answer 1

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;

$\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}$, which gives the following solutions;

$x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}$

$x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}$

Therefore there are two complex solutions;

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Answer 2

Answer:

the answer is c

Step-by-step explanation:

There are two complex solutions.