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दो संख्याओं का गुणनफल 45 है तथा उनका अंतर 4 है, तो उनके वर्गों का योग ज्ञात करें।

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दो संख्याओं का गुणनफल 45 है तथा उनका अंतर 4 है, तो उनके वर्गों का योग ज्ञात करें।
A. 135
B. 240
C. 73
D. 106
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Correct Answer - D
Let two numbers are `x` and `y`
According to the question `xy=45`
`x-y=4`
`:.(x-y)^(2)=x^(2)+y^(2)-2xy`
`implies x^(2)+y^(2)=(x-y)^(2)+2xy`
`= gtx^(2)+y^(2)=16+90`
`implies x^(2)+y^(2)=106`
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