Q. 35.0( 2 Votes )

# Divide 20 into tw

Answer :

Let the divided two parts be x and 20 – x.

x2 + (20 – x)2 = 218

x2 + 400 – 40x + x2 = 218

2x2 – 40x + 182 = 0

Dividing the whole equation by 2, we get –

x2 – 20x + 91 = 0

x2 – (7 + 13)x + 91 = 0

x2 – 7x – 13x + 91 = 0

x(x – 7) – 13(x – 7) = 0

(x – 7)(x – 13) = 0

x – 7 = 0 or x – 13 = 0

x = 7 or x = 13

the two parts are 7 and 13.

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