Answer :
There is no real solution of given equation.
There is a special case that will tell us if a quadratic has no real solution: if b = 0 when a and c share the same sign (both positive or both negative), then there will be no real solution. The quadratic formula becomes much simpler when b = 0.
given equation [tex]x^{2} =-16[/tex]
[tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]
[tex]x=4i, x=-4i[/tex]
we get imaginary solutions of given equation
so, there is no real solution equation is exist.
learn more quadratic equation: brainly.in/question/19169616
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