sqrt(2\sqrt{7x+2)}=sqrt(4x+2)

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√2√7x+2=√4x+2

Solution

x=1, x=−14

Decimal

x=1, x=−0.25

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Solution steps

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√2√7x+2=√4x+2

Remove square roots

28x+8=16x²+16x+4

Solve 28x+8=16x²+16x+4: x=1, x=−14

x=1, x=−14

Verify Solutions: x=1 True, x=−14 True

The solutions are

x=1, x=−14

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

sqrt(2\sqrt{7x+2)}=sqrt(4x+2)

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