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The number, whose square is equal to the difference of the squares of 75.15 and 60.12, is = ?

146.09
248.09
345.09
447.09

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the number be  = x \\ According to question \\ x^{2} = {(75.15)}^{2} - {(60.12)}^{2} \\ \Rightarrow x^{2} = {(75.15 + 60.12)}^{2} {(75.15 - 60.12)}^{2} \\ \Rightarrow x^{2} = 135.27 \times 15.03 \\ \Rightarrow x^{2} = 2033.1081 \\ \Rightarrow x = 45.09 \end{aligned}

$\eqalign{ & {\text{Let the number be = }}x \cr & {\text{According to question}} \cr & {x^2} = {\left( {75.15} \right)^2} - {\left( {60.12} \right)^2} \cr & \Rightarrow {x^2} = {\left( {75.15 + 60.12} \right)^2}{\left( {75.15 - 60.12} \right)^2} \cr & \Rightarrow {x^2} = 135.27 \times 15.03 \cr & \Rightarrow {x^2} = 2033.1081 \cr & \Rightarrow x = 45.09 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let the number be  = x \\ According to question \\ x^{2} = {(75.15)}^{2} - {(60.12)}^{2} \\ \Rightarrow x^{2} = {(75.15 + 60.12)}^{2} {(75.15 - 60.12)}^{2} \\ \Rightarrow x^{2} = 135.27 \times 15.03 \\ \Rightarrow x^{2} = 2033.1081 \\ \Rightarrow x = 45.09 \end{aligned}

$\eqalign{ & {\text{Let the number be = }}x \cr & {\text{According to question}} \cr & {x^2} = {\left( {75.15} \right)^2} - {\left( {60.12} \right)^2} \cr & \Rightarrow {x^2} = {\left( {75.15 + 60.12} \right)^2}{\left( {75.15 - 60.12} \right)^2} \cr & \Rightarrow {x^2} = 135.27 \times 15.03 \cr & \Rightarrow {x^2} = 2033.1081 \cr & \Rightarrow x = 45.09 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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