Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

\( \Large \frac{4}{\sqrt{x}}+\frac{7}{\sqrt{x}}=\sqrt{x;} \) \( \Large y^{2}-\frac{ \left(11\right)^{\frac{5}{2}} }{\sqrt{y}} =0 \)

A) If x>y
B) \( \Large If \ x\ge y \)
C) lfx
D) If x = y or relation cannot be established

Correct Answer:




D) If x = y or relation cannot be established

Description for Correct answer:

\( \Large \frac{4}{\sqrt{x}}+\frac{7}{\sqrt{x}}=\sqrt{x} = \frac{11}{\sqrt{x}} = \sqrt{x}\)

Therefore, x = 11

and \( \Large y^{2} - \frac{ \left(11\right)^{5/2} }{\sqrt{y}} = 0 = y^{2} = \frac{ \left(11\right)^{5/2} }{ \left(y\right)^{1/2} } \)

= \( \Large y^{2} \times y^{1/2} = \left(11\right)^{5/2} \)

= \( \Large \left(y\right)^{5/2} = \left(11\right)^{5/2} \)

Therefore, y = 11

Therefore, x = y

Part of solved Quadratic Equations questions and answers : >> Elementary Mathematics >> Quadratic Equations

Comments

Similar Questions

1). \( \Large x^{2}-365=364; y-\sqrt{324}=\sqrt{81} \)

A). If x>y

B). \( \Large If \ x \ge y \)

C). lfx

D). \( \Large If \ x \le y \)

2). \( \Large 3x^{2}+8x+4=0; 4y^{2}-19y+12=0 \)

A). If x>y

B). \( \Large If \ x\ge y \)

C). lfx

D). \( \Large If \ x \le y \)

3). \( \Large x^{2}-x-12=0; y^{2}+5y+6=0 \)

A). If x>y

B). \( \Large If \ x\ge y \)

C). lfx

D). \( \Large If \ x \le y \)

4). \( \Large x^{2}-8x+15=0; y^{2}-3y+2=0 \)

A). If x>y

B). \( \Large If x\ge y \)

C). lfx

D). \( \Large If x \le y \)

5). \( \Large x^{2}-32=112; y-\sqrt{169}=0 \)

A). If x>y

B). \( \Large If x\ge y \)

C). lfx

D). If x = y or relation cannot be established

6). \( \Large x-\sqrt{121}=0; y^{2}-121=0 \)

A). If x>y

B). \( \Large If \ x\ge y \)

C). lfx

D). If x = y or relation cannot be established

7). \( \Large x^{2}-16=0; y^{2}-9y+20=0 \)

A). If x>y

B). \( \Large If \ x\ge y \)

C). lf x

D). \( \Large If \ x \le y \)

8). If \( \Large x^{2} = 6 + \sqrt{6+\sqrt{6 + \sqrt{6+.... ...... \infty}}} \) then what is one of the values of x equal to?

A). 6

B). 5

C). 4

D). 3

9). The sum of a number and its reciprocal is \( \Large \frac{10}{3} \), then the numbers are

A). \( \Large 3, \frac{1}{3} \)

B). \( \Large 3, -\frac{1}{3} \)

C). \( \Large -3, \frac{1}{3} \)

D). \( \Large -3, -\frac{1}{3} \)

10). In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was

A). \( \Large x^{2}+10x+9=0 \)

B). \( \Large x^{2}-10x+16=0 \)

C). \( \Large x^{2}-10x+9=0 \)

D). None of the above.