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The sum of squares of two positive numbers is 145. If the square root of one of the numbers is 3, then find the other number.
Question

The sum of squares of two positive numbers is 145. If the square root of one of the numbers is 3, then find the other number.

A.

9

B.

136

C.

8

D.

64

Correct option is C

Given:

The sum of squares of two positive numbers is 145.

The square root of one of the numbers is 3.

Solution:

Let the two numbers be x and y.

The square root of one of the numbers is 3, so y = 32=9.3^2 = 9.​​

According to the given condition, the sum of the squares of the two numbers is 145, so:

x2+y2=145x^2 + y^2 = 145​​

 Substituting the value of y:

x2+92=145x2+81=145x2=14581x2=64x=64x=8x^2 + 9^2 = 145 \\x^2 + 81 = 145\\x^2 = 145 - 81\\x^2 = 64\\x = √64\\x = 8​​

So, the other number is 8.

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