Q. 23.9( 10 Votes )

Divide 29 into tw

Answer :

Let one of the number be ‘a’.


Given, sum of two numbers is 29 and the sum of their squares is 425


a2 + (29 – a)2 = 425


a2 + 841 + a2 – 58a = 425


a2 – 29a + 416 = 0


a2 – 16a – 13a + 208= 0


a(a – 16) – 13(a – 16) = 0


(a – 13)(a – 16) = 0


a = 13, 16


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