Question

Is it square if x square + y square is equal to 13 and xy equal to 6 find the value of x 4 + 54?

Answer 1

Answer:

sorry I don't know the answer!!! and plz follow me

Answer 2

Answer:

$x^{4}+y^{4} = 97$

Step-by-step explanation:

Given that-

$x^{2} + y^{2} = 13$

And xy = 6

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

Using formula-

$(a+b)^{2}=a^{2}+b^{2}+2ab$

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

$(13)^{2} = x^{4} + y^{4} + 2(xy)^{2}$

$169 = x^{4}+y^{4} +2(6)^{2}$

169 = $x^{4}+y^{4}+2.(36)$

$x^{4}+y^{4}= 169 - 72$

$x^{4}+y^{4} = 97$