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X+y=8 and xy=15 , find x2 …

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X+y=8 and xy=15 , find x2 + y2

Posted by Ashmit Lal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

4 answers

Damodar Gupta 5 years, 10 months ago

(X+Y)²-2XY

Priyeta Manjari 5 years, 10 months ago

Answer will be 34

Yogita Ingle 5 years, 10 months ago

GIVEN :
x + y = 8
xy = 15.

we know that,

{tex}( x+y )^2 = x^2 + y^2 + 2xy{/tex}
{tex}x^2 + y^2 = ( x + y )^2 - 2xy{/tex}
{tex}= 8^2 - 2×15{/tex}
= 64 - 30
{tex}x^2 + y^2 = 34.{/tex}

Rachit Kumar 5 years, 10 months ago

Your answer is 34

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