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If x+y=8 and xy=15, then x²+y²

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If x+y=8 and xy=15, then x²+y²
  • 6 answers

Amit Yadav 4 years, 8 months ago

x^2+y^2=34

Dipanshu Dhiman 4 years, 8 months ago

Given. x+y=8 and xy=15 We know that (x+y)^2=x^2+y^2+2xy

Yogita Ingle 4 years, 8 months ago

GIVEN :
x + y = 8
xy = 15.
{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}

Harshit Matta 4 years, 8 months ago

X²+Y²=34

Anuraj Maddheshiya 4 years, 8 months ago

(x+y)^2 = x^2+y^2+2*x*y 8^2=x^2+y^2+2*15 64=x^2+y^2+30 64-30=x^2+y^2 34=x^2+y^2 Ans.

Sameer Kharaliya 4 years, 8 months ago

Give me your answer
http://mycbseguide.com/examin8/

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