Question

if a+b=5 and ab=6 find a^2+b^2​

Answer 1

Answer:

a+b=a×b(ab)

6=ab

a=2

b=3

answer:- 2^2+3^2=4+9=13

right answer is 13

Answer 2

Answer:

$→a + b = 5 \\ →ab = 6 \\→ {(a + b)}^{2} = {5}^{2} \\ {a}^{2} + {b}^{2} + 2ab = 25 \\ {a}^{2} + {b}^{2} = 25 - 2ab \\ {a}^{2} + {b}^{2} = 25 - 2(6) \\ {a}^{2} + {b}^{2} = 25 - 12 \\ \boxed{{a}^{2} + {b}^{2} = 13}✓$

• a²+b²=13 is the right answer.