Respuesta :

Other solution of the when discriminant of the quadratic equation is negative is equals to [tex]3-4i[/tex].

What is quadratic equation ?

" Quadratic equation is defined a the algebraic expression which represents the relation between the variables with highest exponent equals to 2."

Formula used

For standard form of quadratic equation

[tex]ax^{2} +bx+c =0\\\\D = b^{2} -4ac[/tex]

D = Discriminant

Roots [tex]= \frac{-b \± \sqrt{D} }{2a}[/tex]

[tex]\sqrt{-1}= i^{2}[/tex]

According to the question,

From the standard form of quadratic equation,

Roots = [tex]= \frac{-b \± \sqrt{D} }{2a}[/tex]

         [tex]= \frac{-b \± \sqrt{(-D)} }{2a}\\\\= \frac{-b \± \sqrt{(-1)D} }{2a}\\\\= \frac{-b \± \sqrt{i^{2} D} }{2a}\\\\== \frac{-b \± i\sqrt{D} }{2a}[/tex]

Hence, other solution of the when discriminant of the quadratic equation is negative is equals to [tex]3-4i[/tex].

Learn more about quadratic equation here

https://brainly.com/question/2263981

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