The given quadratic equation will not have any real solution for c<-9/4.
The given quadratic equation is:
[tex]-x^{2} +3x+c=0[/tex]
Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation with a≠0.
In order to have no real solution, the discriminant of a quadratic equation will be less than zero.
[tex]D < 0[/tex]
[tex]3^{2} -4(-1)(c) < 0[/tex]
[tex]9+4c < 0[/tex]
[tex]c < -\frac{9}{4}[/tex]
For [tex]c < -\frac{9}{4}[/tex] the given quadratic equation will have no real solutions.
Hence, the given quadratic equation will not have any real solution for c<-9/4.
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