Question

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

Answer 1

Step-by-step explanation:

AnswEr :

Option (d) is correct

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Step by Step Explanation -

Let us Consider that the first Number be x & the second be y.

$\bold{\underline{\underline{\sf{According\: to \: Question}}}}$

Sum of squares of two Numbers is 145.

$\implies\sf x^2 + y^2 = 145$ ....[Equation 1]

Square of one number is 3.

$\implies\sf \sqrt{x} = 3$ .....[Equation 2]

$\:\:\:\;\small\bold{\underline{\underline{\sf{\pink{Squaring\; Both\; Sides}}}}}$

$\implies\sf (\sqrt{x})^2 = 3^2$

$\implies\boxed{\sf{x\:=\:9}}$

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$\:\:\:\;\small\bold{\underline{\underline{\sf{\pink{Substituting\: the\: Value\: of \: x \: in \; Eq(1)}}}}}$

$\implies\sf (9)^2 + y^2 = 145$

$\implies\sf 81 + y^2 = 145$

$\implies\sf y^2 = 145 - 81$

$\implies\sf y^2 = 64$

$\implies\sf y = \sqrt{64}$

$\implies\sf y = \pm 8$

$\small\bold{\underline{\sf{Hence,\: Other \: Number \: is \: 8.}}}$

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