roots-6x^2+36x-59

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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roots −6x²+36x−59

Solution

x=3−i√56 , x=3+i√56

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−6x²+36x−59

The roots are the intercepts with the x-axis (y=0)

−6x²+36x−59=0

Solve with the quadratic formula

x_{1, 2}=−36± √36²−4(−6)(−59)2(−6)

Simplify √36²−4(−6)(−59): 2√30i

x_{1, 2}=−36± 2√30i2(−6)

Separate the solutions

x₁=−36+2√30i2(−6) , x₂=−36−2√30i2(−6)

x=−36+2√30i2(−6) : 3−i√56

x=−36−2√30i2(−6) : 3+i√56

The solutions to the quadratic equation are:

x=3−i√56 , x=3+i√56

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

roots-6x^2+36x-59

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