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Difficulty:
45%
(medium)
Question Stats:
63% (01:42) correct
37%
(01:41)
wrong
based on 281
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If \(x = \frac{1}{2}\) and \(x^2 + 2y^2 = 1\), then which of the following values is closest to the value of |y|?
(A) 0.1
(B) 0.2
(C) 0.4
(D) 0.5
(E) 0.6
_________________
(A) 0.1
(B) 0.2
(C) 0.4
(D) 0.5
(E) 0.6
_________________
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hero_with_1000_faces
I calculated by method of approximation
\(\frac{3}{8} = 0.37\) ~ \( 0.4\)
\(\sqrt{0.4} = \sqrt{\frac{4}{10}}\) ~ \(\sqrt{\frac{4}{9}} = \frac{2}{3} = 0.6\)
I calculated by method of approximation
\(\frac{3}{8} = 0.37\) ~ \( 0.4\)
\(\sqrt{0.4} = \sqrt{\frac{4}{10}}\) ~ \(\sqrt{\frac{4}{9}} = \frac{2}{3} = 0.6\)
General Discussion
Posts: 4,849
Putting x = 1/2
\(\frac{1}{4} + 2y^2 = 1\)
\(2y^2 = 1 - \frac{1}{4} = \frac{3}{4}\)
\(y^2 = \frac{3}{8}\)
\(y = \sqrt{\frac{3}{8}} = 0.6\)
Option E
Arun Kumar
\(\frac{1}{4} + 2y^2 = 1\)
\(2y^2 = 1 - \frac{1}{4} = \frac{3}{4}\)
\(y^2 = \frac{3}{8}\)
\(y = \sqrt{\frac{3}{8}} = 0.6\)
Option E
Arun Kumar
hero_with_1000_faces
Joined: 02 Jan 2016
Last visit: 17 Mar 2025
Posts: 326
Status:Studying 4Gmat
Location: India
Concentration: Strategy, Entrepreneurship
Schools: Darden '22 Marshall '22 AGSM '23
GMAT 1: 590 Q37 V33
GPA: 4
WE:Law (Manufacturing)
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CrackVerbalGMAT
Silly question but how do you calculate:
The last part - square root of 3/8 = 0.6
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