Question

Divide 25 into two parts so that the sum of the square of the parts is 353

Answer 1

Answer:

here your answer.. .. .

Step-by-step explanation:

17 and 8

289+64=353

Answer 2

Answer:

Two parts of 25 are 8 and 17 so that the sum of the square of the parts is 353.

Step-by-step explanation:

To find the two parts of 25 so, that the sum of the square of the parts is 353

Let one part is x,so other will be 25-x

ATQ

${x}^{2} + {(25 - x)}^{2} = 353 \\ \\ {x}^{2} + 625 + {x}^{2} - 50x = 353 \\ \\ 2 {x}^{2} - 50x + 272 = 0 \\ \\ {x}^{2} - 25x + 136 = 0 \\ \\ {x}^{2} - 17x - 8x + 136 = 0 \\ \\ x(x - 17) - 8(x - 17) = 0 \\ \\ (x - 17)(x - 8) = 0 \\ \\ x - 17 = 0 \\ \\ x = 17 \\ \\ x - 8 = 0 \\ \\ x = 8$

So, two parts of 25 are 8 and 17.

Verification:

$= {(17)}^{2} + {(8)}^{2} \\ \\ =289 + 64 \\ \\ = 353$

Hope it helps you.