3. The difference of the squares of two numbers is 45. The squares of the smaller number are 4
times the larger number. Find the numbers.
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DJTUET
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let the smallest no. be x
so the largest no.be4x
atq,
(4x)²-(x)²=45
(4x+x)(4x-x) =45
(5x)×(3x) =45
15x²=45
x²=45/15
x²=3
x=√3
so ,the smallest no. is √3
and the largest no. is √3×4=4√3
thankyou
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