Divide 29 into two parts so that the sum of the squares of the parts is 425.
Divide 29 into two parts so that the sum of the squares of the parts is 425.
5 views
1 Answers
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
5 views
Answered