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If sqrt2-x
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19 Aug 2021, 08:24
19 Aug 2021, 08:24
1
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Question Stats:
92% (02:20) correct
7% (02:49) wrong based on 14 sessions
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If \(\sqrt{2-x}=\sqrt{2x}-2\), then \(9x^2=\)
(A) 1
(B) 4
(C) 1 − 6x
(D) 14x − 1
(E) 20x − 4
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) 1
(B) 4
(C) 1 − 6x
(D) 14x − 1
(E) 20x − 4
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
If sqrt2-x
[#permalink]
19 Aug 2021, 08:33
19 Aug 2021, 08:33
1
\(\sqrt{2-x}=\sqrt{2x}-2\)
Squaring on both the sides.
\(2 - x = 2x + 4 - 4\sqrt{2x}\)
\(4\sqrt{2x} = 3x + 2\)
Square on both sides.
\(16(2x) = 9x^2 + 12x + 4\)
\(9x^2 = 20x - 4\)
Answer E
Squaring on both the sides.
\(2 - x = 2x + 4 - 4\sqrt{2x}\)
\(4\sqrt{2x} = 3x + 2\)
Square on both sides.
\(16(2x) = 9x^2 + 12x + 4\)
\(9x^2 = 20x - 4\)
Answer E
gmatclubot
If sqrt2-x [#permalink]
19 Aug 2021, 08:33
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