The given quadratic equation has no real solutions.
Given quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
The discriminant(D) of a quadratic equation tells about the nature of roots.
If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.
If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.
If [tex]D < 0[/tex], the roots of the quadratic equation will be imaginary.
Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.
[tex]D=-16 < 0[/tex]
So, the roots of the given quadratic equation will be imaginary.
So, the given quadratic equation has zero real solutions.
Hence, the given quadratic equation has no real solutions.
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