Math, asked by ayushhenry10, 3 months ago

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

Answers

Answered by rinkughosh9932
50

Answer:

Let the first number be x and

the second number be y

Given that,

x

2

+y

2

=145

...(1)

x

=3

...(2)

then, using equation (2) squaring

both sides

(

x

)

2

=(3)

2

x=9

...(3)

Putting the value from equation (3)

in equation (1)

(9)

2

+y

2

=145

81+y

2

=145

y

2

=145−81

y

2

=64

Step-by-step explanation:

Hope this will help you...

Answered by Cottonking86
5

\huge\boxed{\fcolorbox{white}{orange}{Answer:⇢}}

⠀⠀⠀⠀⠀⠀

\bf  \underline \red{To \ Find} :⇢

  • Other number.

⠀⠀⠀⠀⠀⠀

\small \bf  \underline \red{Given} :⇢

  • The sum of squares of two numbers is 145. If square root of one number is 3.

⠀⠀⠀⠀⠀⠀

\bf  \underline \red{Solution} :⇢

  • Let the 1st number be X

  • Let the 2nd number be Y

⠀⠀⠀⠀⠀⠀

As Per 1st Condition :-

  • x² + y² = 145 --------------- 1

As Per 2nd Condition :-

  • x = 3 ---------------- 2
  • ( x )² = ( 3 )²
  • x = 9

X = 9 ------------ 3

⠀⠀⠀⠀⠀⠀

Putting the value of equation 3rd in equation 1st

  • ➜ 9² + y² = 145
  • ➜ 81 + y² = 145
  • ➜ y² = 145 - 81
  • ➜ y² = 64
  • y = 8

⠀⠀⠀⠀⠀⠀

 \bf  \underline \red{Hence}..,

  • The Other number is 8

_____________________________

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