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Siobhan’s team is solving the following equation: . Amalia says there are no solutions. Brian says there is one solution, but it is imaginary. Cristina says there are two solutions! Help them out. Determine the solution(s) and justify your answer. You may want to refer to the Math Notes box in Lesson 2.2.2 for help.

Sagot :

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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