x^2-x-6=9

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

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ddx

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simplify solve for inverse tangent line

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x²−x−6=9

Solution

x=1+√612 , x=1−√612

Decimal

x=4.40512…, x=−3.40512…

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Solve by:

Quadratic formula

Completing the square

One step at a time

x²−x−6=9

Move 9 to the left side

x²−x−15=0

Solve with the quadratic formula

x_{1, 2}=−(−1)± √(−1)²−4· 1· (−15)2· 1

√(−1)²−4· 1· (−15)=√61

x_{1, 2}=−(−1)± √612· 1

Separate the solutions

x₁=−(−1)+√612· 1 , x₂=−(−1)−√612· 1

x=−(−1)+√612· 1 : 1+√612

x=−(−1)−√612· 1 : 1−√612

The solutions to the quadratic equation are:

x=1+√612 , x=1−√612

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

x^2-x-6=9

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