Question

If x2 + y2 = 29 and xy = 2, find the value of
x^4 + y^4​

Answer 1

Question ;

if x² +y²= 29 and xy = 2

then find the value of x^4 + y^4

solution :

$x {}^{4} + y {}^{4}$

$= (x {}^{2} + y {}^{2} ) {}^{2} - 2x {}^{2} y {}^{2}$

$= (x {}^{2} + y {}^{2} ) {}^{2} - 2(xy) {}^{2}$

$= ( 29) {}^{2} - 2(2) {}^{2}$

$= 841 - 8$

$= 833$

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Answer 2

$\huge\underline\mathfrak\black{To find }$

find the value of

$x {}^{4} + y {}^{4}$

if x² +y²= 29 and xy =2

$\huge\underline\mathfrak\red{Answer}$

Given : x² +y²= 29 and xy =2

$x {}^{4} + y {}^{4}$

$= (x {}^{2} + y {}^{2} ) {}^{2} - 2x {}^{2} y {}^{2}$

$= (x {}^{2} + y {}^{2} ) {}^{2} - 2(xy) {}^{2}$

↪ put the values

x² +y²= 29 and xy =2

then ,

$= (29) {}^{2} - 2(2) {}^{2}$

$= (29) {}^{2} - 8$

$= 841 - 8$

$= 833$

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