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4x^4+3x^2-1=0

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4x⁴+3x²−1=0

Solution

x=12 , x=−12 , x=i, x=−i

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Solution steps

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4x⁴+3x²−1=0

Rewrite the equation with u=x² and u²=x⁴

4u²+3u−1=0

Solve 4u²+3u−1=0: u=14 , u=−1

u=14 , u=−1

Substitute back u=x², solve for x

Solve x²=14 : x=12 , x=−12

Solve x²=−1: x=i, x=−i

The solutions are

x=12 , x=−12 , x=i, x=−i

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

4x^4+3x^2-1=0

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