divide 29 into two parts so that the product of the two parts is 208
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Answers
Answered by
0
Answer:
13x16
Step-by-step explanation:
we divide 29 into 13 and 16
as 13x16 = 208
Answered by
0
Answer:
Let the parts be x and 29 – x
According to the problem
x2 + (29 – x)2 = 425
⇒ x2 + 841 + x2 – 58x – 425 = 0
⇒ 2x2 - 58x + 416 = 0
⇒ x2 – 29x + 208 = 0
⇒ x2 – 16x – 13x + 208 = 0
⇒ x(x - 16) – 13(x – 16) = 0
⇒ (x - 16)(x – 13) = 0
⇒ x – 16 = 0 or x – 13 = 0
⇒ x = 16 or x = 13
[ When x = 16 Then 29 – x = 13 ]
[ When x = 13 Then 29 – x = 16
Hence, the parts are 16 and 13.
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