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Q.

Sum of squares of two numbers is 145. If the square root of one number is 3, find the square of the other number.


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a

16

b

25

c

64

d

81 

answer is C.

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Detailed Solution

Concept- First, we will assume two numbers, Question Image and Question Image. Using the given information, we will form the equations, then substitute the values to get the values of Question Image and Question Image, and finally find the square of one of the numbers.
Consider the first number as Question Image and the second number as Question Image.
Given that,
Question Image Question ImageQuestion ImageSquaring equation (2), we get
Question ImageQuestion ImageWhen putting the value in (1), we get
Question ImageQuestion ImageQuestion ImageQuestion ImageTherefore, 64 is the square of the other number.
Hence, the correct answer is option 3) 64.
  of a Linear Equation
of a Linear Equation
 
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