Question

if x+y=7 and xy=12 then x^2+Y^2

Answer 1

x²+y² = 25

Step-by-step explanation:

x + y = 7

Squaring both the sides,

(x + y)² = (7)²

→ x² + y² + 2xy = 49

Given, xy = 12

→ x² + y² + 2(12) = 49

→ x² + y² + 24 = 49

→ x² + y² = 49 - 24

→ x² + y² = 25

Answer 2

Answer:

25

Step-by-step explanation:

1.let y=12/x

2. x+12/x = 7

3. multiplying by x on bts

4. x^2 -7x +12 =0

5. x =3 or x=4

6. therefore y=4 for x=3 or y=3 for x =4

7. let x=3 and y=4

8. x^2+y^2 = 25