Question

2
8 solve: x² + y² = 65

x - y = 3​

Answer 1

Step-by-step explanation:

Given :

x+y+z=13 ...... (i)

x

2

+y

2

+z

2

=65 ..... (ii)

xy=10 ...... (iii)

Squaring (i), we get

(x+y+z)

2

=13

2

⟹x

2

+y

2

+z

2

+2xy+2yz+2zx=169

⟹z(y+x)=

2

169−65−20

=42 ....... From (ii) and (iii)

⟹z(13−z)=42 ....... From (i)

⟹z

2

−13z+42=0

⟹z=6,7

When z=6 ⇒x=2,5 and y=5,2

z=7⇒x=3±i and y=3∓i i.e. complex values

Hence, x=2,y=5,z=6 and x=5,y=2,z=6

Answer 2

Answer:

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