I- x2-208-233II- y 2-47-371-0A- x-y B- x - yC- x-y D- x - yE- x-y or the relationship cannot be established

The correct option is E x = y or the relationship cannot be establishedEquation I x^2 208=233 ⇒ x^2=233+208=625 ⇒ x=√(625) ⇒ x=√(25)=± 5 Equation II y^2 47+371 ...

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Quantitative Aptitude

Equations

I. x2-208=233...

Question

$I . x^{2} - 208 = 233$
$I I . y^{2} - 47 + 371 = 0$

x > y

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\geq

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x < y

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\leq

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x = y or the relationship cannot be established

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Solution

The correct option is E x = y or the relationship cannot be established
Equation I
$x^{2} - 208 = 233$
$\Rightarrow x^{2} = 233 + 208 = 441$
$\Rightarrow x = \sqrt{441}$
$\Rightarrow x = \pm 21$
Equation II
$y^{2} - 47 + 371 = 0$
$\Rightarrow y^{2} + 324 = 0$
$\Rightarrow y^{2} = - 324$
$∴ y = \sqrt{- 324}$
Hence, relationship cannot be established.

Suggest Corrections

I. x2−208=233 II. y2−47+371=0

The correct option is E x = y or the relationship cannot be establishedEquation I x2−208=233 ⇒x2=233+208=441 ⇒x=√441 ⇒x=±21 Equation II y2−47+371=0 ⇒y2+324=0 ⇒y2=−324 ∴y=√−324 Hence, relationship cannot be established.

$I . x^{2} - 208 = 233$
$I I . y^{2} - 47 + 371 = 0$