Solve the equation using the quadratio formula. $$ x^{2}-4 x+20=0 $$ The solution set is $$ \{ $$. (Simplify your answer. Type an exact answer, using radicals and $$ i $$ as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

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No real solutions Solve the equation $$ x^{2}-4x+20=0 $$. Solve the equation(The complex numbers system) by following steps: - step0: Solve using the quadratic formula in the complex numbers system: $$x^{2}-4x+20=0$$ - step1: Solve using the quadratic formula: $$x=\frac{4\pm \sqrt{\left(-4ight)^{2}-4	imes 20}}{2}$$ - step2: Simplify the expression: $$x=\frac{4\pm \sqrt{-64}}{2}$$ - step3: Simplify the expression: $$x=\frac{4\pm 8i}{2}$$ - step4: Separate into possible cases: $$\begin{align}&x=\frac{4+8i}{2}\&x=\frac{4-8i}{2}\end{align}$$ - step5: Simplify the expression: $$\begin{align}&x=2+4i\&x=\frac{4-8i}{2}\end{align}$$ - step6: Simplify the expression: $$\begin{align}&x=2+4i\&x=2-4i\end{align}$$ - step7: Rewrite: $$x_{1}=2-4i,x_{2}=2+4i$$ - step8: Remove the complex number(s): $$	extrm{No real solution}$$ The equation $$x^{2}-4x+20=0$$ has no real solutions.

Solve the equation using the quadratio formula. \( x^{2}-4 x+20=0 \) The solution set is \( \{ \). (Simplify your answer. Type an exact answer, using radicals and \( i \) as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

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Solve the equation using the quadratio formula. \( x^{2}-4 x+20=0 \) The solution set is \( \{ \). (Simplify your answer. Type an exact answer, using radicals and \( i \) as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

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