Math, asked by bala2806, 17 days ago

divide 29 into two parts so that the product of the two parts is 208


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Answers

Answered by SlayerZed69
0

Answer:

13x16

Step-by-step explanation:

we divide 29 into 13 and 16

as 13x16 = 208

Answered by bhattkishan707
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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