Given:
[tex]-9x^2-7x-2=0[/tex]
To find:
The discriminant
Explanation:
Using the discriminant formula,
[tex]D=b^2-4ac[/tex]
Here,
[tex]\begin{gathered} a=-9 \\ b=-7 \\ c=-2 \end{gathered}[/tex]
The discriminant value becomes,
[tex]\begin{gathered} D=(-7)^2-4(-9)(-2) \\ =49-72 \\ =-23 \\ <0 \end{gathered}[/tex]
Therefore, it has imaginary solutions.
Ans there are two solutions.
Final answer:
• There are imaginary solutions to the quadratic equation with this discriminant.
,
• There are 2 solutions.
