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If x+y=12 and xy=32 find the …

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If x+y=12 and xy=32 find the value of x2+y2

Posted by Khushi Varshney 2 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Parteek Yadav 2 years, 5 months ago

x2+y2= (x+y) 2-2xy = (12) 2-2×32 = 144 - 64 = 80

Khushi Varshney 2 years, 6 months ago

X+y=12 (X+y)2=12^2 (a+b)2 =a2 +b2 + 2ab (X+y)=12^2 X2+y2+2xy=12^2 X2+Y2=144 Xy=32 X2+y2=144-2^32 X2+Y2=144-64=80

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