Question

Divide 19 into two parts so that the sum of the squares of the two parts is 205.​

Answer 1

• Two number are 13 & 6.

Step-by-step explanation:

Let the part be x & 19-x

• x² + (19-x)² = 205
• x² + 361 + x² - 38x = 205
• 2x² - 38x + 156 = 0
• x² - 19x + 78 = 0
• x² - 13x - 6x + 78 = 0
• x(x - 13) - 6(x - 13) = 0
• (x - 13)(x - 6) = 0
• x = 13 or 6

Answer 2

Answer:

13 & 6 is your answer. for detailed explanation refer above Answer