Question

12
12 – 1
2 + 1
If x =
and
y =
√2+
then find the value of x2 + 5xy + y2.
√2-1'
Hint. x2 + 5xy + y2 = (x + y)2 + 3xy.
and y = 2+1​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

rationalising the denominator of the value of x and y we get

x=3-2√2 y=3+2√2

therefore ,

(x+y)² +3xy

= (3-2√2+3+2√2)²+3×(3-2√2)(3+2√2)

=6²+3×3²-(2√2)²

=36+3×1

=39