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23-08-2022
Mathematics

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1 The sum of two numbers is 20, but the sum of their squares is 650. Find the numbers.

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Shreyansh1016 Shreyansh1016

23-08-2022

x+y =20x^2 + y^2 = 650y = 20-xx^2 + (20-x)^2 = 650x^2 +400- 40x+x^2= 6502x^2 -40x = -250x^2- 20x + 125 = 0(x-25)(x+5) =0x= 25, -525^2 + (-5)^2 = 625+25

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