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In the following question two equations are given. You have to solve these equations and determine relation between x and y. I.\(\frac{{24}}{{\surd x}} - \frac{{10}}{{\surd x}} = 6\surd x\) II. y2 – 57 = 304

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In the following question two equations are given. You have to solve these equations and determine relation between x and y.

I.\(\frac{{24}}{{\surd x}} - \frac{{10}}{{\surd x}} = 6\surd x\)

II. y2 – 57 = 304
1). If x > y
2). If x < y
3). If x ≤ y
4). If x ≥ y


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Answered by on | Votes 0 |

From the given data, we get

⇒ $(\frac{{24}}{{\surd x}} - \;\frac{{10}}{{\surd x}}\; = \;6\surd x)$

⇒ 24 – 10 = 6x

⇒ 14 = 6x

⇒ x = 14/6 = 2.33

Also from the given data, we get

⇒ y2 – 57 = 304

⇒ y2 = 304 + 57

⇒ y2 = 361

⇒ y = √361 = ± 19

When x = 2.33 and y = 19, then x < y

When x = 2.33 and y = - 19, then x > y

∴ Relationship cannot be determined

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